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@article{chassaing-schaeffer,
	Author = {Chassaing, P. and Schaeffer, G.},
	Coden = {PTRFEU},
	Date-Modified = {2019-05-25 20:23:11 +1000},
	Doi = {10.1007/s00440-003-0297-8},
	Fjournal = {Probability Theory and Related Fields},
	Issn = {0178-8051},
	Journal = {Probab. Theory Related Fields},
	Mrclass = {60C05 (05C62 60G57 82B41)},
	Mrnumber = {MR2031225 (2004k:60016)},
	Mrreviewer = {Ilya S. Molchanov},
	Number = {2},
	Pages = {161--212},
	Title = {Random planar lattices and integrated super{B}rownian excursion},
	Volume = {128},
	Year = {2004}}

@article{BoBoDoPe,
	Author = {Bonichon, N. and Bousquet-M\'elou, M. and Dorbec, P. and Pennarun, C.},
	Date-Modified = {2019-05-25 19:49:45 +1000},
	Doi = {10.1016/j.ejc.2017.04.009},
	Fjournal = {European Journal of Combinatorics},
	Issn = {0195-6698},
	Journal = {European J. Combin.},
	Mrclass = {05C45 (05C10 05C30)},
	Mrnumber = {3679837},
	Mrreviewer = {V. Vilfred},
	Pages = {59--91},
	Title = {On the number of planar {E}ulerian orientations},
	Volume = {65},
	Year = {2017}}

@article{borwein1991cubic,
	Author = {Borwein, J. M. and Borwein, P. B.},
	Date-Modified = {2019-05-25 20:21:10 +1000},
	Doi = {10.2307/2001551},
	Journal = {Trans. Amer. Math. Soc.},
	Number = {2},
	Pages = {691--701},
	Publisher = {JSTOR},
	Title = {A cubic counterpart of Jacobi's identity and the AGM},
	Volume = {323},
	Year = {1991}}

@article{ambjorn2013trees,
	Author = {Ambj{\o}rn, J. and Budd, T. G.},
	Date-Modified = {2019-05-25 19:47:56 +1000},
	Doi = {10.1088/1751-8113/46/31/315201},
	Fjournal = {Journal of Physics. A. Mathematical and Theoretical},
	Issn = {1751-8113},
	Journal = {J. Phys. A: Math. Theor.},
	Mrclass = {81V17 (83C27)},
	Mrnumber = {3090757},
	Number = {31},
	Pages = {315201, 33 pp},
	Title = {Trees and spatial topology change in causal dynamical triangulations},
	Volume = {46},
	Year = {2013}}

@article{MR3090757,
	Author = {Ambj{\o}rn, J. and Budd, T. G.},
	Journal = {Journal of Physics A: Mathematical and Theoretical},
	Number = {31},
	Pages = {315201},
	Publisher = {IOP Publishing},
	Title = {Trees and spatial topology change in causal dynamical triangulations},
	Volume = {46},
	Year = {2013}}

@article{miermont2009tessellations,
	Author = {Miermont, G.},
	Date-Modified = {2019-05-25 20:27:47 +1000},
	Journal = {Ann. Sci. {\'E}c. Norm. Sup{\'e}r. (4)},
	Number = {5},
	Pages = {725--781},
	Title = {Tessellations of random maps of arbitrary genus},
	Volume = {42},
	Year = {2009}}

@article{elvey-guttmann17,
	Author = {Elvey Price, A. and Guttmann, A. J.},
	Date-Modified = {2019-05-25 20:24:18 +1000},
	Doi = {10.1016/j.ejc.2018.02.040},
	Journal = {Europ. J. Combin.},
	Pages = {73--98},
	Title = {Counting planar Eulerian orientations},
	Volume = {71},
	Year = {2018}}

@misc{BM-EP18,
	Author = {Bousquet-M\'elou, M. and Elvey Price, A.},
	Date-Modified = {2019-05-25 20:21:57 +1000},
	Eprint = {1803.08265},
	Eprinttype = {arxiv},
	Title = {The generating function of planar Eulerian orientations},
	Year = {2018}}

@misc{prep1,
	Author = {Zinn-Justin, P.},
	Note = {in preparation},
	Title = {The geometry of crossing loop models}}

@misc{SchubII,
	Author = {Knutson, A. and Zinn-Justin, P.},
	Note = {work in progress},
	Title = {Schubert puzzles and integrability {II}}}

@misc{artictt,
	Author = {Knutson, A. and Zinn-Justin, P.},
	Note = {in preparation},
	Title = {Varieties associated to loop models on finite domains}}

@article{artic72,
	Arxiv = {1709.01248},
	Author = {Conway, A. and Guttmann, A. and Zinn-Justin, P.},
	Doi = {10.1016/j.aam.2018.01.002},
	Issn = {0196-8858},
	Journal = {Advances in Applied Mathematics},
	Pages = {312--333},
	Promonote = {[main author; 66\%]},
	Theme = {Pattern-avoiding permutations},
	Title = {1324-avoiding permutations revisited},
	Volume = 96,
	Year = 2018,
	Bdsk-Url-1 = {https://doi.org/10.1016/j.aam.2018.01.002}}

@misc{artic71,
	Arxiv = {1706.10019},
	Author = {Knutson, A. and Zinn-Justin, P.},
	Promonote = {submitted. [main author; 66\%]},
	Theme = {Combinatorics and Quantum Integrable models},
	Title = {Schubert puzzles and integrability {I}: invariant trilinear forms},
	Year = {2017}}

@misc{artic70,
	Arxiv = {1612.05361},
	Author = {Zinn-Justin, P.},
	Doi = {10.3842/SIGMA.2018.069},
	Fjournal = {SIGMA. Symmetry, Integrability and Geometry. Methods and Applications},
	Journal = {SIGMA Symmetry Integrability Geom. Methods Appl.},
	Pages = {paper 69, 48},
	Theme = {Geometry and Quantum Integrable models},
	Title = {Loop models and {$K$}-theory},
	Volume = {14},
	Year = {2018},
	Bdsk-Url-1 = {https://doi.org/10.3842/SIGMA.2018.069}}

@misc{moscowlectures,
	Author = {Zinn-Justin, P.},
	Note = {lecture notes from a course at HSE, Moscow},
	Title = {Lectures on Geometry, Quantum Integrability and Symmetric functions},
	Url = {http://www.lpthe.jussieu.fr/~pzinn/summary.pdf},
	Year = {2015},
	Bdsk-Url-1 = {http://www.lpthe.jussieu.fr/~pzinn/summary.pdf}}

@misc{artic69,
	Arxiv = {1612.04465},
	Author = {Knutson, A. and Zinn-Justin, P.},
	Note = {to appear in {{\it Ann. Inst. Fourier}}},
	Promonote = {in press, {{\it Ann. Inst. Fourier}}. [main author; 75\%]},
	Theme = {Geometry and Quantum Integrable models},
	Title = {{G}rassmann--{G}rassmann conormal varieties, integrability and plane partitions},
	Year = {2016}}

@misc{artic68,
	Arxiv = {1607.02396},
	Author = {Wheeler, M. and Zinn-Justin, P.},
	Doi = {10.1515/crelle-2017-0033},
	Note = {to appear in {{\it J. Reine Angew. Math.}}},
	Promonote = {in press, {{\it J. Reine Angew. Math.}}. [main author; 75\%]},
	Theme = {Combinatorics and Quantum Integrable models},
	Title = {{L}ittlewood--{R}ichardson coefficients for {G}rothendieck polynomials from integrability},
	Year = {2016},
	Bdsk-Url-1 = {https://doi.org/10.1515/crelle-2017-0033}}

@article{artic67,
	Arxiv = {1603.01815},
	Author = {Wheeler, M. and Zinn-Justin, P.},
	Doi = {https://doi.org/10.1016/j.jcta.2018.05.005},
	Issn = {0097-3165},
	Journal = {Journal of Combinatorial Theory, Series A},
	Pages = {107--163},
	Promonote = {[coauthor; 50\%]},
	Theme = {Combinatorics and Quantum Integrable models},
	Title = {Hall polynomials, inverse Kostka polynomials and puzzles},
	Volume = {159},
	Year = {2018},
	Bdsk-Url-1 = {https://doi.org/10.1016/j.jcta.2018.05.005}}

@article{artic66,
	Arxiv = {1509.04594},
	Author = {Finch, P. and Weston, R. and Zinn-Justin, P.},
	Doi = {10.1088/1751-8113/49/6/064001},
	Fjournal = {Journal of Physics. A. Mathematical and Theoretical},
	Journal = {J. Phys. A},
	Number = {6},
	Promonote = {[lead author with post-doc and colleague; 33\%]},
	Theme = {Quantum Knizhnik--Zamolodchikov equation},
	Title = {Theta function solutions of the quantum {K}nizhnik--{Z}amolodchikov--{B}ernard equation for a face model},
	Volume = {49},
	Year = {2016},
	Bdsk-Url-1 = {https://doi.org/10.1088/1751-8113/49/6/064001}}

@article{artic65,
	Abstract = {Abstract We study Hall--Littlewood polynomials using an integrable lattice model of t-deformed bosons. Working with row-to-row transfer matrices, we review the construction of Hall--Littlewood polynomials (of the A n root system) within the framework of this model. Introducing appropriate double-row transfer matrices, we extend this formalism to Hall--Littlewood polynomials based on the B C n root system, and obtain a new combinatorial formula for them. We then apply our methods to prove a series of refined Cauchy and Littlewood identities involving Hall--Littlewood polynomials. The last two of these identities are new, and relate infinite sums over hyperoctahedrally symmetric Hall--Littlewood polynomials with partition functions of the six-vertex model on finite domains.},
	Arxiv = {1508.02236},
	Author = {Wheeler, M. and Zinn-Justin, P.},
	Doi = {10.1016/j.aim.2016.05.010},
	Fjournal = {Advances in Mathematics},
	Issn = {0001-8708},
	Journal = {Adv. Math.},
	Keywords = {Six-vertex model},
	Pages = {543--600},
	Promonote = {[lead author with post-doc; 50\%]},
	Theme = {Six-Vertex model},
	Title = {Refined {C}auchy/{L}ittlewood identities and six-vertex model partition functions: {III}. Deformed bosons},
	Volume = {299},
	Year = {2016},
	Bdsk-Url-1 = {https://doi.org/10.1016/j.aim.2016.05.010}}

@article{artic64,
	Arxiv = {1502.01093},
	Author = {Zinn-Justin, P.},
	Doi = {10.1007/s11232-015-0376-x},
	Issn = {0040-5779},
	Journal = {Theoretical and Mathematical Physics},
	Number = {3},
	Pages = {1741--1758},
	Publisher = {Pleiades Publishing},
	Theme = {Geometry and Quantum Integrable models},
	Title = {Quiver varieties and the quantum {K}nizhnik--{Z}amolodchikov equation},
	Volume = {185},
	Year = {2015},
	Bdsk-Url-1 = {https://doi.org/10.1007/s11232-015-0376-x}}

@article{artic63,
	Arxiv = {1411.4091},
	Author = {Forrester, P. and Dang-Zheng, L. and Zinn-Justin, P.},
	Doi = {10.1088/0951-7715/28/7/2265},
	Journal = {Nonlinearity},
	Number = {7},
	Pages = {2265},
	Promonote = {[coauthor; 33\%]},
	Theme = {Random Matrix Theory},
	Title = {Equilibrium problems for {R}aney densities},
	Volume = {28},
	Year = {2015},
	Bdsk-Url-1 = {https://doi.org/10.1088/0951-7715/28/7/2265}}

@article{artic62,
	Arxiv = {1410.0262},
	Author = {Ponsaing, A. and Zinn-Justin, P.},
	Doi = {10.4171/AIHPD/28},
	Fjournal = {Annales de l'Institut Henri Poincar\'e D},
	Journal = {Ann. Henri Poincar\'e},
	Number = {2},
	Pages = {163--255},
	Promonote = {[lead author with post-doc; 50\%]},
	Theme = {Geometry and Quantum Integrable models},
	Title = {Type {$\hat{\mathrm C}$} {B}rauer loop schemes and loop model with boundaries},
	Volume = {3},
	Year = {2016},
	Bdsk-Url-1 = {https://doi.org/10.4171/AIHPD/28}}

@article{artic61,
	Arxiv = {1405.7035},
	Author = {Betea, D. and Wheeler, M. and Zinn-Justin, P.},
	Doi = {10.1007/s10801-015-0592-3},
	Issn = {0925-9899},
	Journal = {Journal of Algebraic Combinatorics},
	Pages = {1--49},
	Promonote = {[lead author with post-docs; 50\%]},
	Theme = {Six-Vertex model},
	Title = {Refined {C}auchy/{L}ittlewood identities and six-vertex model partition functions: {II}. Proofs and new conjectures},
	Year = {2015},
	Bdsk-Url-1 = {https://doi.org/10.1007/s10801-015-0592-3}}

@article{artic60,
	Arxiv = {1302.4649},
	Author = {Ikhlef, Y. and Weston, R. and Wheeler, M. and Zinn-Justin, P.},
	Doi = {10.1088/1751-8113/46/26/265205},
	Fjournal = {Journal of Physics. A. Mathematical and Theoretical},
	Journal = {J. Phys. A},
	Number = {26},
	Pages = {265205},
	Promonote = {[lead author with post-doc and colleagues; 30\%]},
	Theme = {Discrete holomorphicity},
	Title = {Discrete holomorphicity and quantized affine algebras},
	Volume = {46},
	Year = 2013,
	Bdsk-Url-1 = {https://doi.org/10.1088/1751-8113/46/26/265205}}

@article{artic59,
	Arxiv = {1212.4672},
	Author = {Fonseca, T. and Zinn-Justin, P.},
	Doi = {10.1007/s00220-014-1963-7},
	Fjournal = {Communications in Mathematical Physics},
	Journal = {Comm. Math. Phys.},
	Number = {3},
	Pages = {1079--1115},
	Promonote = {[lead author with post-doc; 50\%]},
	Theme = {Quantum Knizhnik--Zamolodchikov equation},
	Title = {Higher spin polynomial solutions of quantum {K}nizhnik--{Z}amolodchikov equation},
	Volume = {328},
	Year = {2014},
	Bdsk-Url-1 = {https://doi.org/10.1007/s00220-014-1963-7}}

@article{artic58,
	Arxiv = {1202.1520},
	Author = {Behrend, R. and Di Francesco, P. and Zinn-Justin, P.},
	Coden = {JCBTA7},
	Doi = {10.1016/j.jcta.2012.09.004},
	Fjournal = {Journal of Combinatorial Theory. Series A},
	Issn = {0097-3165},
	Journal = {J. Combin. Theory Ser. A},
	Mrnumber = {2995049},
	Number = {2},
	Pages = {409--432},
	Promonote = {[coauthor; 25\%]},
	Theme = {Combinatorics and Quantum Integrable models},
	Title = {A doubly refined enumeration of Alternating Sign Matrices and Descending Plane Partitions},
	Volume = {120},
	Year = {2013},
	Bdsk-Url-1 = {https://doi.org/10.1016/j.jcta.2012.09.004}}

@inproceedings{artic57,
	Arxiv = {1202.4420},
	Author = {Zinn-Justin, P.},
	Booktitle = {Symmetries, Integrable systems and representations},
	Cites = {2},
	Journal = {Springer Proceedings in Mathematics and Statistics},
	Note = {Eds Iohara, Morier-Genoud, R{\'e}my},
	Promonote = {Eds Iohara, Morier-Genoud, R{\'e}my},
	Theme = {Quantum Knizhnik--Zamolodchikov equation},
	Title = {Sum rule for the eight-vertex model on its combinatorial line},
	Volume = {40},
	Year = {2013}}

@article{artic56,
	Arxiv = {1110.2187},
	Author = {Rim{\'a}nyi, R. and Tarasov, V. and Varchenko, A. and Zinn-Justin, P.},
	Coden = {JGPHE5},
	Doi = {10.1016/j.geomphys.2012.06.008},
	Fjournal = {Journal of Geometry and Physics},
	Issn = {0393-0440},
	Journal = {J. Geom. Phys.},
	Mrclass = {81T40 (17B81)},
	Mrnumber = {2964653},
	Number = {11},
	Pages = {2188--2207},
	Promonote = {[coauthor; 25\%]},
	Theme = {Geometry and Quantum Integrable models},
	Title = {Extended {J}oseph polynomials, quantized conformal blocks, and a {$q$}-{S}elberg type integral},
	Volume = {62},
	Year = {2012},
	Bdsk-Url-1 = {https://doi.org/10.1016/j.geomphys.2012.06.008}}

@article{artic55,
	Arxiv = {1103.1176},
	Author = {Behrend, R. and Di Francesco, P. and Zinn-Justin, P.},
	Cites = {27},
	Coden = {JCBTA7},
	Doi = {10.1016/j.jcta.2011.09.004},
	Fjournal = {Journal of Combinatorial Theory. Series A},
	Issn = {0097-3165},
	Journal = {J. Combin. Theory Ser. A},
	Mrclass = {05A15 (05A17 05B20)},
	Mrnumber = {2860598},
	Number = {2},
	Pages = {331--363},
	Promonote = {[coauthor; 50\%]},
	Theme = {Combinatorics and Quantum Integrable models},
	Title = {On the weighted enumeration of Alternating Sign Matrices and Descending Plane Partitions},
	Volume = {119},
	Year = {2012},
	Bdsk-Url-1 = {https://doi.org/10.1016/j.jcta.2011.09.004}}

@article{artic54,
	Arxiv = {1012.0619},
	Author = {Guionnet, A. and Jones, V. and Shlyakhtenko, D. and Zinn-Justin, P.},
	Coden = {CMPHAY},
	Doi = {10.1007/s00220-012-1573-1},
	Fjournal = {Communications in Mathematical Physics},
	Issn = {0010-3616},
	Journal = {Comm. Math. Phys.},
	Mrclass = {82Bxx (46Lxx 60B20)},
	Mrnumber = {2989453},
	Number = {1},
	Pages = {45--97},
	Promonote = {[coauthor; 33\%]},
	Theme = {Statistical Models on Random Lattices},
	Title = {Loop models, random matrices and planar algebras},
	Volume = {316},
	Year = {2012},
	Bdsk-Url-1 = {https://doi.org/10.1007/s00220-012-1573-1}}

@article{artic53,
	Arxiv = {1001.2189},
	Author = {Colomo, F. and Pronko, G. and Zinn-Justin, P.},
	Cites = {23},
	Fjournal = {Journal of Statistical Mechanics: Theory and Experiment},
	Journal = {J. Stat. Mech. Theory Exp.},
	Pages = {L03002},
	Promonote = {[coauthor; 50\%]},
	Theme = {Six-Vertex model},
	Title = {The arctic curve of the domain-wall six-vertex model in its anti-ferroelectric regime},
	Year = {2010}}

@article{artic52,
	Arxiv = {1001.1080},
	Author = {Shigechi, K. and Zinn-Justin, P.},
	Cites = {4},
	Coden = {JPAAA2},
	Doi = {10.1016/j.jpaa.2012.03.027},
	Fjournal = {Journal of Pure and Applied Algebra},
	Issn = {0022-4049},
	Journal = {J. Pure Appl. Algebra},
	Mrclass = {20C08 (05E15)},
	Mrnumber = {2927185},
	Number = {11},
	Pages = {2533--2548},
	Promonote = {[lead author with post-doc; 50\%]},
	Theme = {Kazhdan--Lusztig polynomials},
	Title = {Path representation of maximal parabolic {K}azhdan--{L}usztig polynomials},
	Volume = {216},
	Year = {2012},
	Bdsk-Url-1 = {https://doi.org/10.1016/j.jpaa.2012.03.027}}

@article{artic51,
	Arxiv = {0907.2719},
	Author = {Zinn-Justin, P.},
	Cites = {31},
	Coden = {LMPHDY},
	Doi = {10.1007/s11005-009-0365-9},
	Fjournal = {Letters in Mathematical Physics. A Journal for the Rapid Dissemination of Short Contributions in the Field of Mathematical Physics},
	Issn = {0377-9017},
	Journal = {Lett. Math. Phys.},
	Mrclass = {20G20 (05E10)},
	Mrnumber = {2586868 (2011b:20139)},
	Mrreviewer = {Marius T{\u{a}}rn{\u{a}}uceanu},
	Number = {2},
	Pages = {119--127},
	Theme = {Integrals over (quantum) groups},
	Title = {{J}ucys--{M}urphy elements and {W}eingarten matrices},
	Volume = {91},
	Year = {2010},
	Bdsk-Url-1 = {https://doi.org/10.1007/s11005-009-0365-9}}

@incollection{artic50,
	Arxiv = {1006.1812},
	Author = {P. Zinn-Justin and J.-B. Zuber},
	Booktitle = {The Oxford Handbook of Random Matrix Theory},
	Note = {Eds Akemann, Baik and Di Francesco},
	Promonote = {[coauthor; 50\%]},
	Theme = {Knot Enumeration},
	Title = {Knot theory and matrix integrals},
	Year = {2011}}

@article{artic49,
	Arxiv = {0911.4617},
	Author = {Zinn-Justin, P.},
	Cites = {5},
	Fjournal = {Electronic Journal of Combinatorics},
	Journal = {Electron. J. Combin.},
	Pages = {Research Paper 107},
	Theme = {Fully Packed Loops},
	Title = {A conjectured formula for {F}ully {P}acked {L}oop configurations in a triangle},
	Volume = {17},
	Year = {2010}}

@article{artic48,
	Arxiv = {0901.1918},
	Author = {Banica, T. and Collins, B. and Zinn-Justin, P.},
	Cites = {12},
	Doi = {10.1093/imrn/rnp054},
	Fjournal = {International Mathematics Research Notices},
	Journal = {Int. Math. Res. Not.},
	Pages = {3286--3309},
	Promonote = {[coauthor; 33\%]},
	Theme = {Integrals over (quantum) groups},
	Title = {Spectral analysis of the free orthogonal matrix},
	Volume = {17},
	Year = {2009},
	Bdsk-Url-1 = {https://doi.org/10.1093/imrn/rnp054}}

@book{hdr,
	Author = {Zinn-Justin, P.},
	Note = {Habilitation thesis},
	Promonote = {Habilitation thesis},
	Publisher = {Lambert Academic Publishing},
	Title = {Six-vertex, loop and tiling models: integrability and combinatorics},
	Url = {http://www.lpthe.jussieu.fr/~pzinn/publi/hdr.pdf},
	Year = {2009},
	Bdsk-Url-1 = {http://www.lpthe.jussieu.fr/~pzinn/publi/hdr.pdf}}

@incollection{houches,
	Author = {Zinn-Justin, P.},
	Booktitle = {Exact Methods in Low-dimensional Statistical Physics and Quantum Computing},
	Note = {Eds Jacobsen, Ouvry, Pasquier, Serban, and Cugliandolo},
	Promonote = {Eds Jacobsen, Ouvry, Pasquier, Serban, and Cugliandolo},
	Publisher = {Oxford University Press},
	Title = {Integrability and combinatorics: selected topics},
	Year = {2010}}

@article{artic47,
	Arxiv = {0901.1679},
	Author = {Fonseca, T. and Zinn-Justin, P.},
	Cites = {1},
	Fjournal = {Journal of Statistical Mechanics: Theory and Experiment},
	Journal = {J. Stat. Mech. Theory Exp.},
	Pages = {P03025},
	Promonote = {[lead author with post-doc; 50\%]},
	Theme = {Quantum Knizhnik--Zamolodchikov equation},
	Title = {On some ground state components of the {$O(1)$} loop model},
	Year = {2009}}

@article{artic46,
	Arxiv = {0809.2392},
	Author = {Zinn-Justin, P.},
	Cites = {9},
	Fjournal = {Electronic Journal of Combinatorics},
	Journal = {Electron. J. Combin.},
	Pages = {Research Paper 12},
	Theme = {Combinatorics and Quantum Integrable models},
	Title = {{L}ittlewood--{R}ichardson coefficients and integrable tilings},
	Volume = {16},
	Year = {2009}}

@article{artic45,
	Arxiv = {0803.1595},
	Author = {Fonseca, T. and Zinn-Justin, P.},
	Cites = {24},
	Fjournal = {Electronic Journal of Combinatorics},
	Issn = {1077-8926},
	Journal = {Electron. J. Combin.},
	Mrclass = {05A15 (15A51 82B20)},
	Mrnumber = {MR2411458},
	Pages = {Research Paper 81, 35 pp},
	Promonote = {[lead author with post-doc; 50\%]},
	Theme = {Combinatorics and Quantum Integrable models},
	Title = {On the Doubly Refined Enumeration of {A}lternating {S}ign {M}atrices and {T}otally {S}ymmetric {S}elf-{C}omplementary {P}lane {P}artitions},
	Volume = {15},
	Year = {2008}}

@article{artic44,
	Arxiv = {0712.3584},
	Author = {de Gier, J. and Pyatov, P. and Zinn-Justin, P.},
	Cites = {12},
	Coden = {JCBTA7},
	Doi = {10.1016/j.jcta.2008.11.008},
	Fjournal = {Journal of Combinatorial Theory. Series A},
	Issn = {0097-3165},
	Journal = {J. Combin. Theory Ser. A},
	Mrclass = {05A17 (33D80 39A13)},
	Mrnumber = {2513634 (2010k:05028)},
	Number = {4},
	Pages = {772--794},
	Promonote = {[coauthor; 33\%]},
	Theme = {Quantum Knizhnik--Zamolodchikov equation},
	Title = {Punctured plane partitions and the {$q$}-deformed {K}nizhnik--{Z}amolodchikov and {H}irota equations},
	Volume = {116},
	Year = {2009},
	Bdsk-Url-1 = {https://doi.org/10.1016/j.jcta.2008.11.008}}

@article{artic43,
	Arxiv = {0709.3410},
	Author = {Di Francesco, P. and Zinn-Justin, P.},
	Cites = {30},
	Doi = {10.1088/1742-5468/2007/12/P12009},
	Fjournal = {Journal of Statistical Mechanics: Theory and Experiment},
	Issn = {1742-5468},
	Journal = {J. Stat. Mech. Theory Exp.},
	Mrclass = {81R12 (82B20 82B23 82D60)},
	Mrnumber = {MR2367185},
	Number = {12},
	Pages = {P12009, 30 pp},
	Promonote = {[coauthor; 50\%]},
	Theme = {Quantum Knizhnik--Zamolodchikov equation},
	Title = {Quantum {K}nizhnik--{Z}amolodchikov equation: reflecting boundary conditions and combinatorics},
	Year = {2007},
	Bdsk-Url-1 = {https://doi.org/10.1088/1742-5468/2007/12/P12009}}

@article{artic42,
	Arxiv = {0704.3542},
	Author = {Razumov, A. and Stroganov, Yu. and Zinn-Justin, P.},
	Cites = {35},
	Doi = {10.1088/1751-8113/40/39/009},
	Fjournal = {Journal of Physics. A. Mathematical and Theoretical},
	Issn = {1751-8113},
	Journal = {J. Phys. A},
	Mrclass = {81R12 (17B81 81R10 82B20 82B23)},
	Mrnumber = {MR2374053},
	Number = {39},
	Pages = {11827--11847},
	Promonote = {[coauthor; 50\%]},
	Theme = {Quantum Knizhnik--Zamolodchikov equation},
	Title = {Polynomial solutions of {$q$KZ} equation and ground state of {$XXZ$} spin chain at {$\Delta=-1/2$}},
	Volume = {40},
	Year = {2007},
	Bdsk-Url-1 = {https://doi.org/10.1088/1751-8113/40/39/009}}

@article{artic41,
	Arxiv = {math-ph/0703015},
	Author = {Di Francesco, P. and Zinn-Justin, P.},
	Cites = {31},
	Doi = {10.1007/s11232-008-0031-x},
	Fjournal = {Theoretical and Mathematical Physics},
	Journal = {Theor. Math. Phys.},
	Number = {3},
	Pages = {331--348},
	Promonote = {[coauthor; 50\%]},
	Theme = {Quantum Knizhnik--Zamolodchikov equation},
	Title = {Quantum {K}nizhnik--{Z}amolodchikov equation, {T}otally {S}ymmetric {S}elf-{C}omplementary {P}lane {P}artitions and {A}lternating {S}ign {M}atrices},
	Volume = {154},
	Year = {2008},
	Bdsk-Url-1 = {https://doi.org/10.1007/s11232-008-0031-x}}

@article{artic40,
	Arxiv = {math-ph/0610067},
	Author = {Zinn-Justin, P.},
	Cites = {25},
	Doi = {10.1088/1742-5468/2007/01/P01007},
	Fjournal = {Journal of Statistical Mechanics: Theory and Experiment},
	Issn = {1742-5468},
	Journal = {J. Stat. Mech. Theory Exp.},
	Mrclass = {82B23 (05A15 82B20)},
	Mrnumber = {MR2284004},
	Mrreviewer = {Alexei P. Isaev},
	Number = {1},
	Pages = {P01007, 16 pp},
	Theme = {Quantum Knizhnik--Zamolodchikov equation},
	Title = {Loop model with mixed boundary conditions, {$q$KZ} equation and alternating sign matrices},
	Year = {2007},
	Bdsk-Url-1 = {https://doi.org/10.1088/1742-5468/2007/01/P01007}}

@article{artic39,
	Arxiv = {1001.3335},
	Author = {Knutson, A. and Zinn-Justin, P.},
	Cites = {1},
	Doi = {10.1016/j.geomphys.2014.01.006},
	Fjournal = {Journal of Geometry and Physics},
	Journal = {J. Geom. Phys.},
	Pages = {80--110},
	Promonote = {[coauthor; 50\%]},
	Theme = {Geometry and Quantum Integrable models},
	Title = {The {B}rauer loop scheme and orbital varieties},
	Volume = {78},
	Year = {2014},
	Bdsk-Url-1 = {https://doi.org/10.1016/j.geomphys.2014.01.006}}

@article{artic38,
	Arxiv = {math/0607183},
	Author = {Zinn-Justin, P.},
	Cites = {11},
	Fjournal = {Electronic Journal of Combinatorics},
	Issn = {1077-8926},
	Journal = {Electron. J. Combin.},
	Mrclass = {82B23 (05A19 52C20)},
	Mrnumber = {MR2274325 (2007k:82034)},
	Mrreviewer = {Azer Kerimov},
	Number = {1},
	Pages = {Research Paper 110, 15 pp},
	Theme = {Quantum Knizhnik--Zamolodchikov equation},
	Title = {Proof of the {R}azumov--{S}troganov conjecture for some infinite families of link patterns},
	Volume = {13},
	Year = {2006}}

@article{artic37,
	Arxiv = {math-ph/0603018},
	Author = {Zinn-Justin, P.},
	Cites = {7},
	Coden = {CMPHAY},
	Doi = {10.1007/s00220-007-0225-3},
	Fjournal = {Communications in Mathematical Physics},
	Issn = {0010-3616},
	Journal = {Comm. Math. Phys.},
	Mrclass = {05Exx (17Bxx 82B20 82B23)},
	Mrnumber = {MR2304471},
	Number = {3},
	Pages = {661--682},
	Theme = {Quantum Knizhnik--Zamolodchikov equation},
	Title = {Combinatorial point for fused loop models},
	Volume = {272},
	Year = {2007},
	Bdsk-Url-1 = {https://doi.org/10.1007/s00220-007-0225-3}}

@article{artic36,
	Arxiv = {math-ph/0603009},
	Author = {P. Di Francesco and P. Zinn-Justin and J.-B. Zuber},
	Cites = {32},
	Doi = {10.1088/1742-5468/2006/08/P08011},
	Journal = {J. Stat. Mech.},
	Pages = {P08011},
	Promonote = {[coauthor; 33\%]},
	Theme = {Quantum Knizhnik--Zamolodchikov equation},
	Title = {Sum Rules for the Ground States of the {$O(1)$} Loop Model on a Cylinder and the {XXZ} Spin Chain},
	Year = {2006},
	Bdsk-Url-1 = {https://doi.org/10.1088/1742-5468/2006/08/P08011}}

@misc{artic35,
	Arxiv = {math-ph/0512047},
	Author = {Di Francesco, P. and Zinn-Justin, P.},
	Cites = {9},
	Note = {extended abstract for FPSAC'06},
	Promonote = {[coauthor; 50\%]},
	Theme = {Geometry and Quantum Integrable models},
	Title = {From Orbital Varieties to Alternating Sign Matrices},
	Url = {http://www-igm.univ-mlv.fr/~fpsac/FPSAC06/SITE06/papers/60.pdf},
	Year = {2006},
	Bdsk-Url-1 = {http://www-igm.univ-mlv.fr/~fpsac/FPSAC06/SITE06/papers/60.pdf}}

@article{artic34,
	Arxiv = {math-ph/0508059},
	Author = {Di Francesco, P. and Zinn-Justin, P.},
	Cites = {73},
	Coden = {JPHAC5},
	Doi = {10.1088/0305-4470/38/48/L02},
	Fjournal = {Journal of Physics. A. Mathematical and General},
	Issn = {0305-4470},
	Journal = {J. Phys. A},
	Mrclass = {82B20 (05A19 81R12 81R50)},
	Mrnumber = {MR2185933 (2006m:82019)},
	Mrreviewer = {G. K. Giorgadze},
	Number = {48},
	Pages = {L815--L822},
	Promonote = {[coauthor; 50\%]},
	Theme = {Geometry and Quantum Integrable models},
	Title = {Quantum {K}nizhnik--{Z}amolodchikov equation, generalized {R}azumov--{S}troganov sum rules and extended {J}oseph polynomials},
	Volume = {38},
	Year = {2005},
	Bdsk-Url-1 = {https://doi.org/10.1088/0305-4470/38/48/L02}}

@article{artic33,
	Arxiv = {math.AG/0503224},
	Author = {Knutson, A. and Zinn-Justin, P.},
	Cites = {26},
	Coden = {ADMTA4},
	Fjournal = {Advances in Mathematics},
	Issn = {0001-8708},
	Journal = {Adv. Math.},
	Mrclass = {14M99 (14C17 82B20 82B23)},
	Mrnumber = {MR2348022 (2008j:14097)},
	Mrreviewer = {Dmitri I. Panyushev},
	Number = {1},
	Pages = {40--77},
	Promonote = {[coauthor; 50\%]},
	Theme = {Geometry and Quantum Integrable models},
	Title = {A scheme related to the {B}rauer loop model},
	Volume = {214},
	Year = {2007}}

@article{artic32,
	Arxiv = {math-ph/0412031},
	Author = {Di Francesco, P. and Zinn-Justin, P.},
	Cites = {23},
	Coden = {CMPHAY},
	Fjournal = {Communications in Mathematical Physics},
	Issn = {0010-3616},
	Journal = {Comm. Math. Phys.},
	Mrclass = {82B41},
	Mrnumber = {MR2200268 (2006k:82068)},
	Mrreviewer = {Sergei K. Lando},
	Number = {2},
	Pages = {459--487},
	Promonote = {[coauthor; 50\%]},
	Theme = {Geometry and Quantum Integrable models},
	Title = {Inhomogeneous model of crossing loops and multidegrees of some algebraic varieties},
	Volume = {262},
	Year = {2006}}

@article{artic31,
	Arxiv = {math-ph/0410061},
	Author = {Di Francesco, P. and Zinn-Justin, P.},
	Cites = {92},
	Fjournal = {Electronic Journal of Combinatorics},
	Issn = {1077-8926},
	Journal = {Electron. J. Combin.},
	Mrclass = {82B20 (05A19 52C20)},
	Mrnumber = {MR2134169 (2005m:82017)},
	Mrreviewer = {Sergei K. Lando},
	Pages = {Research Paper 6, 27 pp},
	Promonote = {[coauthor; 50\%]},
	Theme = {Quantum Knizhnik--Zamolodchikov equation},
	Title = {Around the {R}azumov--{S}troganov conjecture: proof of a multi-parameter sum rule},
	Url = {http://www.combinatorics.org/Volume_12/Abstracts/v12i1r6.html},
	Volume = {12},
	Year = {2005},
	Bdsk-Url-1 = {http://www.combinatorics.org/Volume_12/Abstracts/v12i1r6.html}}

@article{artic30,
	Arxiv = {math-ph/0410002},
	Author = {Di Francesco, P. and Zinn-Justin, P. and Zuber, J.-B.},
	Cites = {11},
	Coden = {AIFUA7},
	Fjournal = {Universit\'e de Grenoble. Annales de l'Institut Fourier},
	Issn = {0373-0956},
	Journal = {Ann. Inst. Fourier (Grenoble)},
	Mrclass = {05B45 (05A19 05E05 52C20 82B20)},
	Mrnumber = {MR2187944 (2007f:05037)},
	Mrreviewer = {David M. Bressoud},
	Number = {6},
	Pages = {2025--2050},
	Promonote = {[coauthor; 33\%]},
	Theme = {Fully Packed Loops},
	Title = {Determinant formulae for some tiling problems and application to fully packed loops},
	Volume = {55},
	Year = {2005}}

@incollection{artic29,
	Author = {Zinn-Justin, P.},
	Booktitle = {Physical and numerical models in knot theory},
	Mrclass = {57M25 (05A16 05C10)},
	Mrnumber = {MR2197960 (2006j:57024)},
	Mrreviewer = {Goulnara N. Arzhantseva},
	Pages = {597--606},
	Publisher = {World Sci. Publ., Singapore},
	Series = {Ser. Knots Everything},
	Theme = {Knot Enumeration},
	Title = {Conjectures on the enumeration of alternating links},
	Volume = {36},
	Year = {2005}}

@article{artic28,
	Arxiv = {math-ph/0402008},
	Author = {Jacobsen, J. and Zinn-Justin, P.},
	Cites = {9},
	Coden = {JPHAC5},
	Doi = {10.1088/0305-4470/37/29/004},
	Fjournal = {Journal of Physics. A. Mathematical and General},
	Issn = {0305-4470},
	Journal = {J. Phys. A},
	Mrclass = {82B20 (81R50 82B23)},
	Mrnumber = {MR2078954 (2005e:82014)},
	Mrreviewer = {Yao Zhong Zhang},
	Number = {29},
	Pages = {7213--7225},
	Promonote = {[main author; 75\%]},
	Theme = {Bethe Ansatz},
	Title = {Algebraic {B}ethe {A}nsatz for the {FPL$^2$} model},
	Volume = {37},
	Year = {2004},
	Bdsk-Url-1 = {https://doi.org/10.1088/0305-4470/37/29/004}}

@article{artic27,
	Arxiv = {math/0311220},
	Author = {Di Francesco, P. and Zinn-Justin, P. and Zuber, J.-B.},
	Cites = {25},
	Fjournal = {Electronic Journal of Combinatorics},
	Issn = {1077-8926},
	Journal = {Electron. J. Combin.},
	Mrclass = {05A19},
	Mrnumber = {MR2097330 (2006d:05021)},
	Mrreviewer = {Christian Krattenthaler},
	Number = {1},
	Pages = {Research Paper 64, 11 pp},
	Promonote = {[coauthor; 33\%]},
	Theme = {Fully Packed Loops},
	Title = {A bijection between classes of fully packed loops and plane partitions},
	Volume = {11},
	Year = {2004}}

@unpublished{artic20,
	Arxiv = {cond-mat/0205192},
	Author = {Zinn-Justin, P.},
	Cites = {23},
	Note = {unpublished preprint},
	Theme = {Six-Vertex model},
	Title = {The Influence of Boundary Conditions in the Six-Vertex Model},
	Year = {2002}}

@article{artic25,
	Arxiv = {math-ph/0303049},
	Author = {Zinn-Justin, P. and Zuber, J.-B.},
	Cites = {8},
	Fjournal = {Journal of Knot Theory and its Ramifications},
	Issn = {0218-2165},
	Journal = {J. Knot Theory Ramifications},
	Mrclass = {57M15 (05C30 57M25 81T18)},
	Mrnumber = {MR2061172 (2005d:57003)},
	Mrreviewer = {Gw{\'e}na{\"e}l Massuyeau},
	Number = {3},
	Pages = {325--355},
	Promonote = {[coauthor; 50\%]},
	Theme = {Knot Enumeration},
	Title = {Matrix integrals and the generation and counting of virtual tangles and links},
	Volume = {13},
	Year = {2004}}

@article{artic24,
	Arxiv = {math-ph/0304034},
	Author = {Schaeffer, G. and Zinn-Justin, P.},
	Cites = {10},
	Fjournal = {Experimental Mathematics},
	Issn = {1058-6458},
	Journal = {Experiment. Math.},
	Mrclass = {05A16 (05C30 57M25 83C80)},
	Mrnumber = {MR2118273 (2006d:05018)},
	Mrreviewer = {Valery A. Liskovets},
	Number = {4},
	Pages = {483--493},
	Promonote = {[coauthor; 50\%]},
	Theme = {Knot Enumeration},
	Title = {On the asymptotic number of plane curves and alternating knots},
	Volume = {13},
	Year = {2004}}

@article{artic26,
	Arxiv = {hep-th/0308132},
	Author = {Zinn-Justin, P.},
	Cites = {11},
	Fjournal = {Europhysics Letters},
	Issn = {0295-5075},
	Journal = {Europhys. Lett.},
	Mrclass = {82B41 (83C80)},
	Mrnumber = {MR2030895 (2005a:82043)},
	Number = {6},
	Pages = {737--742},
	Theme = {Statistical Models on Random Lattices},
	Title = {The asymmetric {$ABAB$} matrix model},
	Volume = {64},
	Year = {2003}}

@article{artic18b,
	Author = {Jacobsen, J. and Zinn-Justin, P.},
	Fjournal = {Markov Processes and Related Fields},
	Issn = {1024-2953},
	Journal = {Markov Process. Related Fields},
	Mrclass = {57M25 (05C30 82B44)},
	Mrnumber = {MR2013665 (2004i:57006)},
	Mrreviewer = {Sergei K. Lando},
	Note = {proceedings of ``Inhomogeneous random systems'' (Cergy-Pontoise, 2002)},
	Number = {2},
	Pages = {301--310},
	Promonote = {[main author; 75\%]},
	Theme = {Knot Enumeration},
	Title = {Matrix models and the enumeration of alternating tangles},
	Volume = {9},
	Year = {2003}}

@article{artic23,
	Arxiv = {math-ph/0209019},
	Author = {Zinn-Justin, P. and Zuber, J.-B.},
	Cites = {73},
	Coden = {JPHAC5},
	Fjournal = {Journal of Physics. A. Mathematical and General},
	Issn = {0305-4470},
	Journal = {J. Phys. A},
	Mrclass = {82B41 (15A90 60C05)},
	Mrnumber = {MR1986413 (2006c:82029)},
	Note = {special issue on Random Matrix Theory},
	Number = {12},
	Pages = {3173--3193},
	Promonote = {[coauthor; 50\%]},
	Theme = {Integrals over (quantum) groups},
	Title = {On some integrals over the {$U(N)$} unitary group and their large {$N$} limit},
	Volume = {36},
	Year = {2003}}

@incollection{artic09,
	Address = {Cambridge},
	Arxiv = {math-ph/9910010},
	Author = {Zinn-Justin, P.},
	Booktitle = {Random matrix models and their applications},
	Cites = {5},
	Mrclass = {82B41 (57M27 60B15 83C27)},
	Mrnumber = {MR1842796 (2002m:82031)},
	Mrreviewer = {Saburo Higuchi},
	Oldnote = {proceedings of the 1999 semester at the MSRI},
	Pages = {421--438},
	Publisher = {Cambridge Univ. Press},
	Series = {Math. Sci. Res. Inst. Publ.},
	Theme = {Knot Enumeration},
	Title = {Some matrix integrals related to knots and links},
	Volume = {40},
	Year = {2001}}

@article{artic17,
	Arxiv = {math-ph/0106005},
	Author = {Zinn-Justin, P.},
	Cites = {6},
	Coden = {CMPHAY},
	Fjournal = {Communications in Mathematical Physics},
	Issn = {0010-3616},
	Journal = {Comm. Math. Phys.},
	Mrclass = {57M25 (81T99)},
	Mrnumber = {MR1990878 (2004d:57014)},
	Mrreviewer = {Richard Kenyon},
	Number = {1-2},
	Pages = {287--304},
	Theme = {Knot Enumeration},
	Title = {The general {$O(n)$} quartic matrix model and its application to counting tangles and links},
	Volume = {238},
	Year = {2003}}

@incollection{artic18,
	Address = {Dordrecht},
	Arxiv = {math-ph/0111011},
	Author = {Jacobsen, J. and Zinn-Justin, P.},
	Booktitle = {Asymptotic combinatorics with application to mathematical physics ({S}t. {P}etersburg, 2001)},
	Cites = {1},
	Mrclass = {57M25 (05A15)},
	Mrnumber = {MR1999357 (2004h:57009)},
	Pages = {97--112},
	Promonote = {[main author; 75\%]},
	Publisher = {Kluwer Acad. Publ.},
	Series = {NATO Sci. Ser. II Math. Phys. Chem.},
	Theme = {Knot Enumeration},
	Title = {The combinatorics of alternating tangles: from theory to computerized enumeration},
	Volume = {77},
	Year = {2002}}

@article{artic15,
	Arxiv = {math-ph/0102015},
	Author = {Jacobsen, J. and Zinn-Justin, P.},
	Cites = {11},
	Fjournal = {Journal of Knot Theory and its Ramifications},
	Issn = {0218-2165},
	Journal = {J. Knot Theory Ramifications},
	Mrclass = {57M25},
	Mrnumber = {MR1918811 (2003f:57014)},
	Mrreviewer = {Yuanan Diao},
	Number = {5},
	Pages = {739--758},
	Promonote = {[main author; 75\%]},
	Theme = {Knot Enumeration},
	Title = {A transfer matrix approach to the enumeration of knots},
	Volume = {11},
	Year = {2002}}

@article{artic21,
	Arxiv = {math-ph/0202045},
	Author = {Zinn-Justin, P.},
	Cites = {23},
	Coden = {NUPBBO},
	Fjournal = {Nuclear Physics. B},
	Issn = {0550-3213},
	Journal = {Nuclear Phys. B},
	Mrclass = {81R12 (37K10 37K60 81T10)},
	Mrnumber = {MR1912027 (2003f:81113)},
	Mrreviewer = {Nenad Manojlovi{\'c}},
	Number = {3},
	Pages = {417--432},
	Theme = {Integrals over (quantum) groups},
	Title = {H{CIZ} integral and 2{D} {T}oda lattice hierarchy},
	Volume = {634},
	Year = {2002}}

@article{artic14,
	Arxiv = {nlin.SI/0008030},
	Author = {Korepin, V. and Zinn-Justin, P.},
	Cites = {2},
	Coden = {JMAPAQ},
	Fjournal = {Journal of Mathematical Physics},
	Issn = {0022-2488},
	Journal = {J. Math. Phys.},
	Mrclass = {82B20 (82B23)},
	Mrnumber = {MR1902479 (2003g:82021)},
	Mrreviewer = {Katherine A. Seaton},
	Number = {6},
	Pages = {3261--3267},
	Promonote = {[post-doc of lead author; 50\%]},
	Theme = {Six-Vertex model},
	Title = {Inhomogeneous six-vertex model with domain wall boundary conditions and {B}ethe {A}nsatz},
	Volume = {43},
	Year = {2002}}

@article{artic08,
	Arxiv = {math-ph/9904019},
	Author = {Zinn-Justin, P. and Zuber, J.-B.},
	Cites = {10},
	Coden = {DSMHA4},
	Fjournal = {Discrete Mathematics},
	Issn = {0012-365X},
	Journal = {Discrete Math.},
	Mrclass = {57M25 (05A15 81Q30 81T18)},
	Mrnumber = {MR1887495 (2003i:57019)},
	Number = {1-3},
	Oldnote = {proceedings of ``Formal power series and algebraic combinatorics'' (Barcelona, 1999)},
	Pages = {343--360},
	Promonote = {[coauthor; 50\%]},
	Theme = {Knot Enumeration},
	Title = {Matrix integrals and the counting of tangles and links},
	Volume = {246},
	Year = {2002}}

@article{artic11,
	Arxiv = {math-ph/0002020},
	Author = {Zinn-Justin, P. and Zuber, J.-B.},
	Cites = {12},
	Fjournal = {Journal of Knot Theory and its Ramifications},
	Issn = {0218-2165},
	Journal = {J. Knot Theory Ramifications},
	Mrclass = {57M25 (05C30 15A52 81T18)},
	Mrnumber = {MR1807611 (2002b:57008)},
	Mrreviewer = {Alexander Zvonkin},
	Number = {8},
	Pages = {1127--1141},
	Promonote = {[coauthor; 50\%]},
	Theme = {Knot Enumeration},
	Title = {On the counting of colored tangles},
	Volume = {9},
	Year = {2000}}

@article{artic22,
	Arxiv = {cond-mat/0207063},
	Author = {Jacobsen, J. and Zinn-Justin, P.},
	Cites = {7},
	Journal = {Phys. Rev. E},
	Number = {R},
	Pages = {055102},
	Promonote = {[coauthor; 50\%]},
	Theme = {Percolation},
	Title = {Monochromatic path crossing exponents and graph connectivity in 2D percolation},
	Volume = {66},
	Year = {2002}}

@article{artic19,
	Arxiv = {cond-mat/0111374},
	Author = {Jacobsen, J. and Zinn-Justin, P.},
	Cites = {8},
	Coden = {JPHAC5},
	Fjournal = {Journal of Physics. A. Mathematical and General},
	Issn = {0305-4470},
	Journal = {J. Phys. A},
	Mrclass = {82B43},
	Mrnumber = {MR1908712 (2003e:82033)},
	Number = {9},
	Pages = {2131--2144},
	Promonote = {[coauthor; 50\%]},
	Theme = {Percolation},
	Title = {A transfer matrix for the backbone exponent of two-dimensional percolation},
	Volume = {35},
	Year = {2002}}

@article{artic16,
	Arxiv = {math-ph/0104009},
	Author = {Jacobsen, J. and Zinn-Justin, P.},
	Cites = {5},
	Fjournal = {Journal of Knot Theory and its Ramifications},
	Issn = {0218-2165},
	Journal = {J. Knot Theory Ramifications},
	Mrclass = {57M25 (82B20)},
	Mrnumber = {MR1871228 (2003h:57009)},
	Number = {8},
	Pages = {1233--1267},
	Promonote = {[main author; 75\%]},
	Theme = {Knot Enumeration},
	Title = {A transfer matrix approach to the enumeration of colored links},
	Volume = {10},
	Year = {2001}}

@article{artic13,
	Arxiv = {math-ph/0005008},
	Author = {Zinn-Justin, P.},
	Cites = {96},
	Coden = {PLEEE8},
	Fjournal = {Physical Review E. Statistical, Nonlinear, and Soft Matter Physics},
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	Journal = {Phys. Rev. E},
	Mrclass = {82B20 (82B23)},
	Mrnumber = {MR1788950 (2001g:82037)},
	Number = {3, part A},
	Pages = {3411--3418},
	Theme = {Six-Vertex model},
	Title = {Six-vertex model with domain wall boundary conditions and one-matrix model},
	Volume = {62},
	Year = {2000}}

@article{artic12,
	Arxiv = {cond-mat/0004250},
	Author = {Korepin, V. and Zinn-Justin, P.},
	Cites = {136},
	Coden = {JPHAC5},
	Doi = {10.1088/0305-4470/33/40/304},
	Fjournal = {Journal of Physics. A. Mathematical and General},
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	Journal = {J. Phys. A},
	Mrclass = {82B20 (82B23)},
	Mrnumber = {MR1792450 (2001h:82018)},
	Mrreviewer = {Yvan Velenik},
	Number = {40},
	Pages = {7053--7066},
	Promonote = {[post-doc of lead author; 75\%]},
	Theme = {Six-Vertex model},
	Title = {Thermodynamic limit of the six-vertex model with domain wall boundary conditions},
	Volume = {33},
	Year = {2000},
	Bdsk-Url-1 = {https://doi.org/10.1088/0305-4470/33/40/304}}

@article{artic10,
	Arxiv = {cond-mat/9909250},
	Author = {Zinn-Justin, P.},
	Cites = {27},
	Date-Modified = {2019-05-25 20:28:26 +1000},
	Doi = {10.1209/epl/i2000-00229-y },
	Fjournal = {Europhysics Letters},
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	Journal = {Europhys. Lett.},
	Mrclass = {82B44 (81T40 82B20)},
	Mrnumber = {MR1747830 (2001a:82046)},
	Number = {1},
	Pages = {15--21},
	Theme = {Statistical Models on Random Lattices},
	Title = {The six-vertex model on random lattices},
	Volume = {50},
	Year = {2000}}

@article{artic07,
	Arxiv = {cond-mat/9903385},
	Author = {Zinn-Justin, P.},
	Cites = {50},
	Coden = {JSTPSB},
	Fjournal = {Journal of Statistical Physics},
	Issn = {0022-4715},
	Journal = {J. Statist. Phys.},
	Mrclass = {82B44 (82B20)},
	Mrnumber = {MR1745840 (2002a:82067)},
	Number = {1-2},
	Pages = {j10--264},
	Theme = {Statistical Models on Random Lattices},
	Title = {The dilute {P}otts model on random surfaces},
	Volume = {98},
	Year = {2000}}

@article{artic06,
	Arxiv = {math-ph/9810010},
	Author = {Zinn-Justin, P.},
	Cites = {10},
	Coden = {PLEEE8},
	Fjournal = {Physical Review E. Statistical, Nonlinear, and Soft Matter Physics},
	Issn = {1539-3755},
	Journal = {Phys. Rev. E (3)},
	Mrclass = {82B41 (46L53 46L60)},
	Mrnumber = {MR1682207 (2000h:82043)},
	Number = {5, part A},
	Pages = {4884--4888},
	Theme = {Random Matrix Theory},
	Title = {Adding and multiplying random matrices: a generalization of {V}oiculescu's formulas},
	Volume = {59},
	Year = {1999}}

@article{artic05,
	Arxiv = {hep-th/9808043},
	Author = {Kazakov, V. and Zinn-Justin, P.},
	Cites = {56},
	Coden = {NUPBBO},
	Fjournal = {Nuclear Physics. B},
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	Mrclass = {81T10 (81T40)},
	Mrnumber = {MR1690386 (2000i:81083)},
	Number = {3},
	Pages = {647--668},
	Promonote = {[PhD of lead author; 75\%]},
	Theme = {Statistical Models on Random Lattices},
	Title = {Two-matrix model with {$ABAB$} interaction},
	Volume = {546},
	Year = {1999}}

@article{artic04,
	Arxiv = {hep-th/9712222},
	Author = {Zinn-Justin, P.},
	Cites = {31},
	Coden = {JPHAC5},
	Fjournal = {Journal of Physics. A. Mathematical and General},
	Issn = {0305-4470},
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	Mrclass = {82B20 (17B81 81R50 82B23)},
	Mrnumber = {MR1643832 (99k:82017)},
	Mrreviewer = {Andrey V. Tsiganov},
	Number = {31},
	Pages = {6747--6770},
	Theme = {Bethe Ansatz},
	Title = {Nonlinear integral equations for complex affine {T}oda models associated with simply laced {L}ie algebras},
	Volume = {31},
	Year = {1998}}

@article{artic03,
	Arxiv = {cond-mat/9801158},
	Author = {Zinn-Justin, P. and Andrei, N.},
	Cites = {2},
	Coden = {NUPBBO},
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	Issn = {0550-3213},
	Journal = {Nuclear Phys. B},
	Mrclass = {82D35 (81R50 82B10)},
	Mrnumber = {MR1643667 (2000i:82085)},
	Number = {3},
	Pages = {648--682},
	Promonote = {[coauthor; 75\%]},
	Theme = {Bethe Ansatz},
	Title = {The generalized multi-channel {K}ondo model: thermodynamics and fusion equations},
	Volume = {528},
	Year = {1998}}

@article{artic02,
	Arxiv = {cond-mat/9705044},
	Author = {Zinn-Justin, P.},
	Cites = {99},
	Coden = {CMPHAY},
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	Mrclass = {82B44 (60H25 82D30)},
	Mrnumber = {MR1631489 (2000e:82029a)},
	Mrreviewer = {Aernout C. D. van Enter},
	Number = {3},
	Pages = {631--650},
	Theme = {Random Matrix Theory},
	Title = {Universality of correlation functions of {H}ermitian random matrices in an external field},
	Volume = {194},
	Year = {1998}}

@article{artic01,
	Arxiv = {cond-mat/9703033},
	Author = {Zinn-Justin, P.},
	Cites = {77},
	Coden = {NUPBBO},
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	Journal = {Nuclear Phys. B},
	Mrclass = {82B44 (82B41)},
	Mrnumber = {MR1463645 (98k:82100)},
	Mrreviewer = {Aernout C. D. van Enter},
	Number = {3},
	Pages = {725--732},
	Theme = {Random Matrix Theory},
	Title = {Random {H}ermitian matrices in an external field},
	Volume = {497},
	Year = {1997}}

@article{JBZ-On,
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	Year = {2008},
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@article{Weingarten,
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	Mrclass = {81.22},
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@unpublished{oeis,
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	Note = {\href{http://oeis.org}{http://oeis.org}},
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@article{Kostov-6v,
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	Coden = {NUPBBO},
	Date-Modified = {2019-05-25 20:25:50 +1000},
	Doi = {10.1016/s0550-3213(00)00060-2},
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	Mrreviewer = {Katherine A. Seaton},
	Number = {3},
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	Volume = {575},
	Year = {2000}}

@article{GZD-planecurves,
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	Mrclass = {57-04 (57M15 57R42)},
	Mrnumber = {MR1657608 (99i:57001)},
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@article{Pas-RS,
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	Year = {2006}}

@article{dG-review,
	Arxiv = {math/0211285},
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	Coden = {DSMHA4},
	Fjournal = {Discrete Mathematics},
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	Year = {2005}}

@article{dG-review2,
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	Mrclass = {82B41 (05A15 60C05)},
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	Mrreviewer = {Albert Jeu-Liang Sheu},
	Number = {2},
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	Year = {2007}}

@incollection{dG-review3,
	Arxiv = {0901.3963},
	Author = {de Gier, J.},
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	Year = {2009}}

@article{Kratt-DPP,
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	Author = {Krattenthaler, C.},
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	Mrreviewer = {David M. Bressoud},
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@article{bouttier-mobiles,
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@article{BdGN-XXZ-ASM-PP,
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@article{MNR-crossloop,
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@article{RS-bethe,
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	Fjournal = {Journal of Statistical Mechanics: Theory and Experiment},
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@article{RS-spin,
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	Year = {2001},
	Bdsk-Url-1 = {https://doi.org/10.1088/0305-4470/34/14/322}}

@article{Strog-odd,
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	Coden = {JPHAC5},
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	Bdsk-Url-1 = {https://doi.org/10.1088/0305-4470/34/13/104}}

@misc{Strog-3enum,
	Arxiv = {math-ph/0304004},
	Author = {Stroganov, Yu.},
	Title = {3-enumerated alternating sign matrices}}

@article{MRR-symPP,
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@article{RS-bc,
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@misc{faddeev,
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	Author = {L.~D. Faddeev},
	Title = {How {A}lgebraic {B}ethe {A}nsatz Works for Integrable Model},
	Year = {1996}}

@article{Wieland,
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	Author = {Wieland, B.},
	Fjournal = {Electronic Journal of Combinatorics},
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	Mrnumber = {MR1773294 (2001g:05016)},
	Mrreviewer = {David M. Bressoud},
	Pages = {Research Paper 37, 13 pp},
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	Volume = {7},
	Year = {2000}}

@misc{JPS,
	Arxiv = {math.CO/9801068},
	Author = {Jockush, W. and Propp, J. and Shor, P.},
	Title = {Random Domino Tilings and the Arctic Circle Theorem},
	Year = {1998}}

@article{rosengren,
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	Author = {Rosengren, H.},
	Doi = {10.1016/j.aam.2009.01.003},
	Fjournal = {Advances in Applied Mathematics},
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	Journal = {Adv. in Appl. Math.},
	Mrclass = {05A15 (15B34 82B20 82B23)},
	Mrnumber = {2531917 (2010j:05031)},
	Number = {2},
	Pages = {137--155},
	Title = {An {I}zergin--{K}orepin-type identity for the {8VSOS} model, with applications to alternating sign matrices},
	Volume = {43},
	Year = {2009},
	Bdsk-Url-1 = {https://doi.org/10.1016/j.aam.2009.01.003}}

@article{rosengrenb,
	Arxiv = {0911.0561},
	Author = {Rosengren, H.},
	Doi = {10.1016/j.aam.2010.10.007},
	Fjournal = {Advances in Applied Mathematics},
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	Volume = {46},
	Year = {2011},
	Bdsk-Url-1 = {https://doi.org/10.1016/j.aam.2010.10.007}}

@misc{RS-XYZ,
	Arxiv = {0911.5030},
	Author = {Razumov, A. and Stroganov, Yu.},
	Title = {A possible combinatorial point for {XYZ}-spin chain},
	Year = 2009}

@article{BM-8v,
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	Author = {Bazhanov, V. and Mangazeev, V.},
	Coden = {JPHAC5},
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	Fjournal = {Journal of Physics. A. Mathematical and General},
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	Volume = {38},
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	Bdsk-Url-1 = {https://doi.org/10.1088/0305-4470/38/8/L01}}

@article{BM-P6a,
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	Coden = {JPHAC5},
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	Fjournal = {Journal of Physics. A. Mathematical and General},
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@article{BM-P6b,
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@article{EKLP1,
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@article{EKLP2,
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	Coden = {JAOME7},
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	Journal = {J. Algebraic Combin.},
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	Bdsk-Url-1 = {https://doi.org/10.1023/A:1022483817303}}

@article{Kup-symASM,
	Arxiv = {math/0008184},
	Author = {Kuperberg, G.},
	Coden = {ANMAAH},
	Fjournal = {Annals of Mathematics. Second Series},
	Issn = {0003-486X},
	Journal = {Ann. of Math. (2)},
	Mrclass = {05A15 (05A30 05E05 11C20 15A36)},
	Mrnumber = {MR1954236 (2004c:05013)},
	Mrreviewer = {Christian Krattenthaler},
	Number = {3},
	Pages = {835--866},
	Title = {Symmetry classes of alternating-sign matrices under one roof},
	Volume = {156},
	Year = {2002}}

@misc{Rob-ASM,
	Arxiv = {math/0008045},
	Author = {Robbins, D.},
	Title = {Symmetry Classes of Alternating Sign Matrices},
	Year = {2000}}

@incollection{Strog-8v,
	Address = {Dordrecht},
	Author = {Stroganov, Yu.},
	Booktitle = {Integrable structures of exactly solvable two-dimensional models of quantum field theory ({K}iev, 2000)},
	Mrclass = {82B23 (82B20)},
	Mrnumber = {1873580 (2002j:82037)},
	Pages = {315--319},
	Publisher = {Kluwer Acad. Publ.},
	Series = {NATO Sci. Ser. II Math. Phys. Chem.},
	Title = {The {$8$}-vertex model with a special value of the crossing parameter and the related {$XYZ$} spin chain},
	Volume = {35},
	Year = {2001}}

@incollection{Bax-review,
	Address = {Boston, MA},
	Author = {Baxter, R.},
	Booktitle = {Integrable systems in quantum field theory and statistical mechanics},
	Mrclass = {82B23 (82-02 82B20)},
	Mrnumber = {1048594 (91j:82020)},
	Mrreviewer = {Omar Foda},
	Pages = {95--116},
	Publisher = {Academic Press},
	Series = {Adv. Stud. Pure Math.},
	Title = {Solving models in statistical mechanics},
	Volume = {19},
	Year = {1989}}

@article{BKW,
	Abstract = {The partition function of the Potts model (1952) on any lattice can readily be written as a Whitney polynomial (1932). Temperley and Lieb (Proc. R. Soc., vol.A322, p.251 of 1971) have used operator methods to show that, for a square lattice, this problem is in turn equivalent to a staggered ice-type model. Here the authors rederive this equivalence by a graphical method, which they believe to be simpler, and which applies to any planar lattice. For instance, they also show that the Potts model on the triangular or honeycomb lattice is equivalent to an ice-type model on a Kagome lattice.},
	Author = {R J Baxter, S B Kelland and F Y Wu},
	Journal = {Journal of Physics A: Mathematical and General},
	Number = {3},
	Pages = {397-406},
	Title = {Equivalence of the {P}otts Model or {W}hitney Polynomial with an Ice-Type Model},
	Url = {http://stacks.iop.org/0305-4470/9/397},
	Volume = {9},
	Year = {1976},
	Bdsk-Url-1 = {http://stacks.iop.org/0305-4470/9/397}}

@article{MRR-TSSCPP,
	Abstract = {A totally symmetric plane partition of size n is a plane partition
    whose three-dimensional Ferrers graph is contained in the box $X\sb
    n=[1,n]\times [1,n]\times [1,n]$ and which is mapped to itself under all
    permutations of the coordinate axes. The complement of the Ferrers graph of
    such a plane partition (that is, the set of lattice points in the box $X\sb
    n$ that do not belong to the Ferrers graph) is again totally symmetric when
    viewed from the vantage point of the vertex $(n+1$, $n+1$, $n+1)$. A totally
    symmetric plane partition is self-complementary if it is congruent (in the
    geometrical sense) to its complement. This cannot occur unless $n=2m$ is
    even. In this paper we give several conjectures and a few theorems
    concerning self-complementary totally symmetric plane partitions. In
    particular we describe evidence which indicates a close relationship with m
    by m alternating sign matrices. In an earlier paper we described the close
    connection between m by m alternating sign matrices and descending plane
    partitions with no parts exceeding m. We are thus left with three classes of
    objects which are all apparently interrelated. There remain many unsolved
    problems, the simplest of which is to prove that any two of the objects have
    the same cardinality.},
	Author = {Mills, W. and Robbins, D. and Rumsey, Jr., H.},
	Classmath = {*05A17 (Partitions of integres (combinatorics))},
	Coden = {JCBTA7},
	Fjournal = {Journal of Combinatorial Theory. Series A},
	Issn = {0097-3165},
	Journal = {J. Combin. Theory Ser. A},
	Keywords = {totally symmetric plane partition; Ferrers graph},
	Mrclass = {05A15},
	Mrnumber = {MR847558 (88b:05008)},
	Mrreviewer = {Dennis Stanton},
	Number = {2},
	Pages = {277--292},
	Title = {Self-complementary totally symmetric plane partitions},
	Volume = {42},
	Year = {1986}}

@incollection{And-MacDPP,
	Address = {New York},
	Author = {Andrews, G.},
	Booktitle = {Combinatorics, representation theory and statistical methods in groups},
	Mrclass = {05A17 (05B45)},
	Mrnumber = {588196 (81m:05013)},
	Mrreviewer = {Marilena Barnabei},
	Pages = {91--106},
	Publisher = {Dekker},
	Series = {Lecture Notes in Pure and Appl. Math.},
	Title = {Macdonald's conjecture and descending plane partitions},
	Volume = {57},
	Year = {1980}}

@article{RR-ASM,
	Author = {Robbins, D. and Rumsey, Jr., H.},
	Coden = {ADMTA4},
	Fjournal = {Advances in Mathematics},
	Issn = {0001-8708},
	Journal = {Adv. in Math.},
	Mrclass = {15A15 (05A15 11P65)},
	Mrnumber = {MR865837 (88a:15012)},
	Mrreviewer = {George E. Andrews},
	Number = {2},
	Pages = {169--184},
	Title = {Determinants and alternating sign matrices},
	Volume = {62},
	Year = {1986}}

@article{MRR-ASM,
	Author = {Mills, W. and Robbins, D. and Rumsey, Jr., H.},
	Classmath = {{*05B20 ((0,1)-matrices (combinatorics)) 05A17 (Partitions of integres (combinatorics))}},
	Coden = {JCBTA7},
	Fjournal = {Journal of Combinatorial Theory. Series A},
	Issn = {0097-3165},
	Journal = {J. Combin. Theory Ser. A},
	Keywords = {{alternating sign matrix; plane partitions}},
	Mrclass = {05A15 (05B20)},
	Mrnumber = {MR700040 (85b:05013)},
	Mrreviewer = {S. Milne},
	Number = {3},
	Pages = {340--359},
	Title = {Alternating sign matrices and descending plane partitions},
	Volume = {34},
	Year = {1983}}

@article{Nienhuis,
	Author = {Nienhuis, B.},
	Doi = {10.1103/PhysRevLett.49.1062},
	Journal = {Phys. Rev. Lett.},
	Month = {Oct},
	Number = {15},
	Numpages = {3},
	Pages = {1062--1065},
	Publisher = {American Physical Society},
	Title = {Exact Critical Point and Critical Exponents of $O(n)$ Models in Two Dimensions},
	Volume = {49},
	Year = {1982},
	Bdsk-Url-1 = {https://doi.org/10.1103/PhysRevLett.49.1062}}

@article{Lind,
	Author = {Lindstr{\"o}m, B.},
	Fjournal = {The Bulletin of the London Mathematical Society},
	Issn = {0024-6093},
	Journal = {Bull. London Math. Soc.},
	Mrclass = {05B35},
	Mrnumber = {MR0335313 (49 \#95)},
	Mrreviewer = {D. J. A. Welsh},
	Pages = {85--90},
	Title = {On the vector representations of induced matroids},
	Volume = {5},
	Year = {1973}}

@misc{GV-pre,
	Author = {Gessel, I. and Viennot, G.},
	Title = {Determinants, paths and plane partitions},
	Url = {http://people.brandeis.edu/~gessel/homepage/papers/pp.pdf},
	Year = {1989},
	Bdsk-Url-1 = {http://people.brandeis.edu/~gessel/homepage/papers/pp.pdf}}

@article{GV,
	Author = {Gessel, I. and Viennot, G.},
	Coden = {ADMTA4},
	Fjournal = {Advances in Mathematics},
	Issn = {0001-8708},
	Journal = {Adv. in Math.},
	Mrclass = {05A15 (05A19)},
	Mrnumber = {MR815360 (87e:05008)},
	Mrreviewer = {S. Milne},
	Number = {3},
	Pages = {300--321},
	Title = {Binomial determinants, paths, and hook length formulae},
	Volume = {58},
	Year = {1985}}

@article{Rob-story,
	Author = {Robbins, D.},
	Coden = {MAINDC},
	Fjournal = {The Mathematical Intelligencer},
	Issn = {0343-6993},
	Journal = {Math. Intelligencer},
	Mrclass = {05A17 (05A15 11P81)},
	Mrnumber = {MR1098216 (92d:05010)},
	Mrreviewer = {Christian Krattenthaler},
	Number = {2},
	Pages = {12--19},
	Title = {The story of {$1,2,7,42,429,7436,\ldots$}},
	Volume = {13},
	Year = {1991}}

@article{MRR-Mac,
	Author = {Mills, W. and Robbins, D. and Rumsey, Jr., H.},
	Coden = {INVMBH},
	Fjournal = {Inventiones Mathematicae},
	Issn = {0020-9910},
	Journal = {Invent. Math.},
	Mrclass = {05A17 (05A15)},
	Mrnumber = {MR652647 (83i:05013)},
	Mrreviewer = {S. Milne},
	Number = {1},
	Pages = {73--87},
	Title = {Proof of the {M}acdonald conjecture},
	Volume = {66},
	Year = {1982}}

@book{Bressoud,
	Address = {Washington, DC},
	Author = {Bressoud, D.},
	Isbn = {0-521-66170-6; 0-521-66646-5},
	Mrclass = {15-01 (00-01 00A35 33-01)},
	Mrnumber = {MR1718370 (2000i:15002)},
	Mrreviewer = {George E. Andrews},
	Pages = {xvi+274},
	Publisher = {Mathematical Association of America},
	Series = {MAA Spectrum},
	Title = {Proofs and confirmations: The story of the alternating sign matrix conjecture},
	Year = {1999}}

@article{Zeil-ASM,
	Arxiv = {math/9407211},
	Author = {Zeilberger, D.},
	Fjournal = {Electronic Journal of Combinatorics},
	Issn = {1077-8926},
	Journal = {Electron. J. Combin.},
	Mrclass = {05A10 (05A15 39A10)},
	Mrnumber = {MR1392498 (97d:05012)},
	Mrreviewer = {David M. Bressoud},
	Note = {The Foata Festschrift},
	Number = {2},
	Pages = {Research Paper 13, 84 pp},
	Title = {Proof of the alternating sign matrix conjecture},
	Volume = {3},
	Year = {1996}}

@article{Zeil-refASM,
	Arxiv = {math/9606224},
	Author = {Zeilberger, D.},
	Fjournal = {New York Journal of Mathematics},
	Issn = {1076-9803},
	Journal = {New York J. Math.},
	Mrclass = {05A15 (33D45 82B23)},
	Mrnumber = {1383799 (97c:05010)},
	Mrreviewer = {Jiang Zeng},
	Pages = {59--68, electronic},
	Title = {Proof of the refined alternating sign matrix conjecture},
	Url = {http://nyjm.albany.edu:8000/j/1996/2_59.html},
	Volume = {2},
	Year = {1996},
	Bdsk-Url-1 = {http://nyjm.albany.edu:8000/j/1996/2_59.html}}

@article{Iz-6V,
	Author = {Izergin, A.},
	Fjournal = {Doklady Akademii Nauk SSSR},
	Issn = {0002-3264},
	Journal = {Dokl. Akad. Nauk SSSR},
	Mrclass = {82A68},
	Mrnumber = {MR919260 (88m:82040)},
	Mrreviewer = {M. Lawrence Glasser},
	Number = {2},
	Pages = {331--333},
	Title = {Partition function of a six-vertex model in a finite volume},
	Volume = {297},
	Year = {1987}}

@misc{Zeil-qKZ,
	Author = {Zeilberger, D.},
	Title = {Proof of a Conjecture of {P}hilippe {D}i {F}rancesco and {P}aul {Z}inn-{J}ustin Related to the {$q$KZ} Equations and to {D}ave {R}obbins' Two Favorite Combinatorial Objects},
	Url = {http://www.math.rutgers.edu/~zeilberg/mamarim/mamarimhtml/diFrancesco.html},
	Year = {2007},
	Bdsk-Url-1 = {http://www.math.rutgers.edu/~zeilberg/mamarim/mamarimhtml/diFrancesco.html}}

@article{Oka,
	Arxiv = {math/0408234},
	Author = {Okada, S.},
	Coden = {JAOME7},
	Doi = {10.1007/s10801-006-6028-3},
	Fjournal = {Journal of Algebraic Combinatorics. An International Journal},
	Issn = {0925-9899},
	Journal = {J. Algebraic Combin.},
	Mrclass = {05E15 (05A15 15A15 20G05)},
	Mrnumber = {MR2218849 (2007d:05155)},
	Mrreviewer = {Markus E. Fulmek},
	Number = {1},
	Pages = {43--69},
	Publisher = {Kluwer Academic Publishers},
	Title = {Enumeration of symmetry classes of alternating sign matrices and characters of classical groups},
	Volume = {23},
	Year = {2006},
	Bdsk-Url-1 = {https://doi.org/10.1007/s10801-006-6028-3}}

@article{CK,
	Arxiv = {math/0312217},
	Author = {Caselli, F. and Krattenthaler, C.},
	Coden = {JCBTA7},
	Fjournal = {Journal of Combinatorial Theory. Series A},
	Issn = {0097-3165},
	Journal = {J. Combin. Theory Ser. A},
	Mrclass = {82B20 (05A15 05B45 05E10 82B23)},
	Mrnumber = {MR2087309 (2006f:82018)},
	Mrreviewer = {Richard Kenyon},
	Number = {1},
	Pages = {123--146},
	Title = {Proof of two conjectures of {Z}uber on fully packed loop configurations},
	Volume = {108},
	Year = {2004}}

@incollection{CK-PP,
	Address = {Tokyo},
	Arxiv = {math/9808018},
	Author = {Ciucu, M. and Krattenthaler, C.},
	Booktitle = {Combinatorial methods in representation theory ({K}yoto, 1998)},
	Mrclass = {05A17 (05A19 11P81 52C20)},
	Mrnumber = {1855591 (2003d:05018)},
	Mrreviewer = {George E. Andrews},
	Pages = {81--101},
	Publisher = {Kinokuniya},
	Series = {Adv. Stud. Pure Math.},
	Title = {Plane partitions. {II}. {$5\frac 12$} symmetry classes},
	Volume = {28},
	Year = {2000}}

@article{Kratten-det-TSSCPP,
	Arxiv = {math/9712202},
	Author = {Krattenthaler, C.},
	Fjournal = {Electronic Journal of Combinatorics},
	Issn = {1077-8926},
	Journal = {Electron. J. Combin.},
	Mrclass = {05A15 (05A17)},
	Mrnumber = {MR1478284 (99c:05012)},
	Mrreviewer = {G. L. Alexanderson},
	Number = {1},
	Pages = {Research paper, 27, 62 pp},
	Title = {Determinant identities and a generalization of the number of totally symmetric self-complementary plane partitions},
	Volume = {4},
	Year = {1997}}

@article{Kup-ASM,
	Arxiv = {math/9712207},
	Author = {Kuperberg, G.},
	Fjournal = {International Mathematics Research Notices},
	Issn = {1073-7928},
	Journal = {Internat. Math. Res. Notices},
	Mrclass = {05A15 (33D45 82B23)},
	Mrnumber = {MR1383754 (97c:05009)},
	Mrreviewer = {Jiang Zeng},
	Number = {3},
	Pages = {139--150},
	Title = {Another proof of the alternating-sign matrix conjecture},
	Year = {1996}}

@article{Kor,
	Author = {Korepin, V.},
	Coden = {CMPHAY},
	Fjournal = {Communications in Mathematical Physics},
	Issn = {0010-3616},
	Journal = {Comm. Math. Phys.},
	Mrclass = {81E25 (82A15)},
	Mrnumber = {MR677006 (83m:81078)},
	Mrreviewer = {Tuan W. Chen},
	Number = {3},
	Pages = {391--418},
	Title = {Calculation of norms of {B}ethe wave functions},
	Volume = {86},
	Year = {1982}}

@article{Strog-IK,
	Arxiv = {math-ph/0204042},
	Author = {Stroganov, Yu.},
	Fjournal = {Rossi\u\i skaya Akademiya Nauk. Teoreticheskaya i Matematicheskaya Fizika},
	Issn = {0564-6162},
	Journal = {Teoret. Mat. Fiz.},
	Mrclass = {82B23 (05A15)},
	Mrnumber = {MR2243403 (2007f:82026)},
	Mrreviewer = {Alexander N. Manashov},
	Number = {1},
	Pages = {65--76},
	Pretitle = {A New Way to Deal with {I}zergin--{K}orepin Determinant at Root of Unity},
	Title = {{I}zergin--{K}orepin Determinant at a Third Root of Unity},
	Volume = {146},
	Year = {2006}}

@article{DF-qKZ-TSSCPP,
	Arxiv = {cond-mat/0607499},
	Author = {Di Francesco, P.},
	Fjournal = {Journal of Statistical Mechanics: Theory and Experiment},
	Issn = {1742-5468},
	Journal = {J. Stat. Mech. Theory Exp.},
	Mrclass = {82B23 (05A15 17B37 81R12 81R50 82B20)},
	Mrnumber = {MR2278472 (2007j:82023)},
	Mrreviewer = {Sylvie Corteel},
	Number = {9},
	Pages = {P09008, 14 pp},
	Title = {Totally symmetric self-complementary plane partitions and the quantum {K}nizhnik--{Z}amolodchikov equation: a conjecture},
	Year = {2006}}

@article{Zuber-conj,
	Arxiv = {math-ph/0309057},
	Author = {Zuber, J.-B.},
	Fjournal = {Electronic Journal of Combinatorics},
	Issn = {1077-8926},
	Journal = {Electron. J. Combin.},
	Mrclass = {05A15 (05A17)},
	Mrnumber = {MR2035307 (2004j:05017)},
	Mrreviewer = {H. N. V. Temperley},
	Number = {1},
	Pages = {Research Paper 13, 15 pp},
	Title = {On the counting of Fully Packed Loop configurations: some new conjectures},
	Url = {http://www.combinatorics.org/Volume_11/Abstracts/v11i1r13.html},
	Volume = {11},
	Year = {2004},
	Bdsk-Url-1 = {http://www.combinatorics.org/Volume_11/Abstracts/v11i1r13.html}}

@article{CKLN,
	Arxiv = {math/0502392},
	Author = {Caselli, F. and Krattenthaler, C. and Lass, B. and Nadeau, P.},
	Fjournal = {Electronic Journal of Combinatorics},
	Issn = {1077-8926},
	Journal = {Electron. J. Combin.},
	Mrclass = {05A15 (05B45 05E10 20C30 82B23)},
	Mrnumber = {MR2195422 (2006j:05009)},
	Mrreviewer = {David M. Bressoud},
	Number = {2},
	Pages = {Research Paper 16, 43 pp},
	Title = {On the number of fully packed loop configurations with a fixed associated matching},
	Url = {http://www.combinatorics.org/Volume_11/Abstracts/v11i2r16.html},
	Volume = {11},
	Year = {2004/06},
	Bdsk-Url-1 = {http://www.combinatorics.org/Volume_11/Abstracts/v11i2r16.html}}

@article{KT,
	Arxiv = {math/0112150},
	Author = {Knutson, A. and Tao, T.},
	Coden = {DUMJAO},
	Doi = {10.1215/S0012-7094-03-11922-5},
	Fjournal = {Duke Mathematical Journal},
	Issn = {0012-7094},
	Journal = {Duke Math. J.},
	Mrclass = {14N15 (05E05 05E10 57R91 57S25)},
	Mrnumber = {1997946 (2006a:14088)},
	Number = {2},
	Pages = {221--260},
	Title = {Puzzles and (equivariant) cohomology of {G}rassmannians},
	Volume = {119},
	Year = {2003},
	Bdsk-Url-1 = {https://doi.org/10.1215/S0012-7094-03-11922-5}}

@article{Pur,
	Arxiv = {0705.1184},
	Author = {Purbhoo, K.},
	Coden = {JAOME7},
	Fjournal = {Journal of Algebraic Combinatorics. An International Journal},
	Issn = {0925-9899},
	Journal = {J. Algebraic Combin.},
	Mrclass = {05E10},
	Mrnumber = {MR2443281},
	Number = {4},
	Pages = {461--480},
	Title = {Puzzles, tableaux, and mosaics},
	Volume = {28},
	Year = {2008}}

@article{KPur,
	Arxiv = {1008.4979},
	Author = {Knutson, A. and Purbhoo, K.},
	Fjournal = {Electronic Journal of Combinatorics},
	Issn = {1077-8926},
	Journal = {Electron. J. Combin.},
	Mrclass = {14M15 (05A15 05B45 05E99)},
	Mrnumber = {2788693},
	Mrreviewer = {David E. Anderson},
	Number = {1},
	Pages = {Paper 76, 20},
	Title = {Product and puzzle formulae for {${\rm GL}_n$} {B}elkale--{K}umar coefficients},
	Volume = {18},
	Year = {2011}}

@article{WidM,
	Author = {Widom, M.},
	Journal = {Phys. Rev. Lett.},
	Pages = {2094},
	Title = {{B}ethe {A}nsatz solution of the square-triangle random tiling model},
	Volume = {70},
	Year = {1993}}

@article{Kal,
	Author = {Kalugin, P.A.},
	Journal = {J. Phys. A},
	Number = {27},
	Pages = {3599},
	Title = {The Square-Triangle Random-Tiling Model in the Thermodynamic Limit},
	Year = {1994}}

@article{dGN-sqtri,
	Author = {de Gier, J. and Nienhuis, B.},
	Coden = {PLEEE8},
	Doi = {10.1103/PhysRevE.55.3926},
	Fjournal = {Physical Review E. Statistical, Nonlinear, and Soft Matter Physics},
	Issn = {1539-3755},
	Journal = {Phys. Rev. E (3)},
	Mrclass = {82B23 (82B20)},
	Mrnumber = {1449374 (98f:82048)},
	Mrreviewer = {Andrey V. Tsiganov},
	Number = {4},
	Pages = {3926--3933},
	Title = {Integrability of the square-triangle random tiling model},
	Volume = {55},
	Year = {1997},
	Bdsk-Url-1 = {https://doi.org/10.1103/PhysRevE.55.3926}}

@unpublished{dGN-sqtriunpub,
	Author = {de Gier, J. and Nienhuis, B.},
	Note = {unpublished},
	Title = {Singular commuting transfer matrices},
	Year = {2000}}

@article{dGN-octa,
	Author = {de Gier, J. and Nienhuis, B.},
	Coden = {JSTPSB},
	Fjournal = {Journal of Statistical Physics},
	Issn = {0022-4715},
	Journal = {J. Statist. Phys.},
	Mrclass = {82B23 (82B44 82D25)},
	Mrnumber = {1453744 (98j:82019)},
	Mrreviewer = {Aernout C. D. van Enter},
	Number = {1-2},
	Pages = {415--437},
	Title = {The exact solution of an octagonal rectangle-triangle random tiling},
	Volume = {87},
	Year = {1997}}

@article{dGN-deca,
	Author = {de Gier, J. and Nienhuis, B.},
	Coden = {JPHAC5},
	Doi = {10.1088/0305-4470/31/9/006},
	Fjournal = {Journal of Physics. A. Mathematical and General},
	Issn = {0305-4470},
	Journal = {J. Phys. A},
	Mrclass = {82B44 (82B23)},
	Mrnumber = {1628729 (99g:82036)},
	Mrreviewer = {Richard Kenyon},
	Number = {9},
	Pages = {2141--2154},
	Title = {Bethe {A}nsatz solution of a decagonal rectangle-triangle random tiling},
	Volume = {31},
	Year = {1998},
	Bdsk-Url-1 = {https://doi.org/10.1088/0305-4470/31/9/006}}

@article{JM-ff,
	Author = {Jimbo, M. and Miwa, T.},
	Coden = {KRMPBV},
	Fjournal = {Kyoto University. Research Institute for Mathematical Sciences. Publications},
	Issn = {0034-5318},
	Journal = {Publ. Res. Inst. Math. Sci.},
	Mrclass = {58F07 (17B67 35Q20)},
	Mrnumber = {MR723457 (85i:58060)},
	Mrreviewer = {Jouko Mickelsson},
	Number = {3},
	Pages = {943--1001},
	Title = {Solitons and infinite-dimensional {L}ie algebras},
	Url = {http://projecteuclid.org/euclid.prims/1195182017},
	Volume = {19},
	Year = {1983},
	Bdsk-Url-1 = {http://projecteuclid.org/euclid.prims/1195182017}}

@article{JM-gapless,
	Author = {Jimbo, M. and Miwa, T.},
	Coden = {JPHAC5},
	Doi = {10.1088/0305-4470/29/12/005},
	Fjournal = {Journal of Physics. A. Mathematical and General},
	Issn = {0305-4470},
	Journal = {J. Phys. A},
	Mrclass = {82B20 (81T40 82B23)},
	Mrnumber = {1398600 (97i:82021)},
	Mrreviewer = {Wen-li Yang},
	Number = {12},
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@article{And-weakMac,
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@misc{Las-CY,
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@article{Joh-arctic,
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@article{AR,
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@article{BF,
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@incollection{KL-KL,
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	Year = {2000}}

@article{BL,
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	Volume = {286},
	Year = {2009}}

@article{BL2,
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@misc{BL3,
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	Author = {Bleher, P. and Liechty, K.},
	Title = {Exact solution of the six-vertex model with domain wall boundary conditions. Antiferroelectric phase},
	Year = {2009}}

@article{CP-6v0,
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	Coden = {PYLAAG},
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	Volume = {315},
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@article{CP-ref3,
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	Author = {Colomo, F. and Pronko, A.},
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	Mrreviewer = {David M. Bressoud},
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	Volume = {34},
	Year = {2005},
	Bdsk-Url-1 = {https://doi.org/10.1016/j.aam.2004.09.007}}

@article{CP-2point,
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	Fjournal = {Journal of Statistical Mechanics: Theory and Experiment},
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	Number = {5},
	Pages = {05010, 21 pp. (electronic)},
	Title = {On two-point boundary correlations in the six-vertex model with domain wall boundary conditions},
	Year = {2005}}

@article{CP-orthog1,
	Arxiv = {math-ph/0411076},
	Author = {Colomo, F. and Pronko, A.},
	Fjournal = {Journal of Statistical Mechanics: Theory and Experiment},
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	Journal = {J. Stat. Mech. Theory Exp.},
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	Mrnumber = {2114554 (2006d:82020)},
	Mrreviewer = {Steven B. Damelin},
	Number = {1},
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	Title = {Square ice, alternating sign matrices, and classical orthogonal polynomials},
	Year = {2005}}

@article{CP-orthog2,
	Arxiv = {math-ph/0602033},
	Author = {Colomo, F. and Pronko, A.},
	Coden = {JPHAC5},
	Doi = {10.1088/0305-4470/39/28/S15},
	Fjournal = {Journal of Physics. A. Mathematical and Theoretical},
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	Mrnumber = {2240471 (2007c:82010)},
	Number = {28},
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	Volume = {39},
	Year = {2006},
	Bdsk-Url-1 = {https://doi.org/10.1088/0305-4470/39/28/S15}}

@article{CP-6v,
	Arxiv = {math-ph/0309064},
	Author = {Colomo, F. and Pronko, A.},
	Coden = {JPHAC5},
	Doi = {10.1088/0305-4470/37/6/003},
	Fjournal = {Journal of Physics. A. Mathematical and General},
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	Mrnumber = {2045907 (2005d:82018)},
	Mrreviewer = {Yvan Velenik},
	Number = {6},
	Pages = {1987--2002},
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	Volume = {37},
	Year = {2004},
	Bdsk-Url-1 = {https://doi.org/10.1088/0305-4470/37/6/003}}

@article{CP2,
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	Author = {Colomo, F. and Pronko, A.},
	Coden = {NUPBBO},
	Fjournal = {Nuclear Physics. B},
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	Journal = {Nuclear Phys. B},
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	Number = {3},
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	Title = {Emptiness formation probability in the domain-wall six-vertex model},
	Volume = {798},
	Year = {2008}}

@incollection{CP,
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	Arxiv = {0704.0362},
	Author = {Colomo, F. and Pronko, A.},
	Booktitle = {Integrable systems and random matrices},
	Mrclass = {82B20 (82B26)},
	Mrnumber = {2411918 (2010d:82018)},
	Mrreviewer = {Nenad Manojlovi{\'c}},
	Pages = {361--376},
	Publisher = {Amer. Math. Soc.},
	Series = {Contemp. Math.},
	Title = {The {A}rctic {C}ircle revisited},
	Volume = {458},
	Year = {2008}}

@misc{CP3,
	Arxiv = {0803.2697},
	Author = {Colomo, F. and Pronko, A.},
	Title = {The limit shape of large alternating sign matrices},
	Year = {2008}}

@article{CP4,
	Arxiv = {0907.1264},
	Author = {Colomo, F. and Pronko, A. G.},
	Doi = {10.1007/s10955-009-9902-2},
	Fjournal = {Journal of Statistical Physics},
	Issn = {0022-4715},
	Journal = {J. Stat. Phys.},
	Mrclass = {82B20},
	Mrnumber = {2594917},
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@article{Kauf-TL,
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@article{TL,
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@article{Lus90a,
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@article{KazLus91,
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@article{Vog83,
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@book{Martin-Potts,
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	Year = {1991}}

@article{Martin-TL,
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@misc{Martin-Brauer,
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@article{Brauer,
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@incollection{Saleur-TL,
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@article{Naruse01,
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@article{HWKK-5v,
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@article{BG-zonal-domino,
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@article{ST-tangles,
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	Year = {1998}}

@misc{Finch-knots,
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@article{SV-knots,
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@article{Biane-largeyoung,
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@inproceedings{STV-virtual,
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@article{BS3,
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	Year = {2010}}

@article{Kos-ADE,
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	Volume = {326},
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@article{Kos-ADEb,
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	Fjournal = {Nuclear Physics. B},
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@book{Langer-thesis,
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@misc{GJS07,
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@article{Jones-subfac,
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	Coden = {INVMBH},
	Doi = {10.1007/BF01389127},
	Fjournal = {Inventiones Mathematicae},
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	Journal = {Invent. Math.},
	Mrclass = {46L35 (10D07)},
	Mrnumber = {696688 (84d:46097)},
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	Bdsk-Url-1 = {https://doi.org/10.1007/BF01389127}}

@article{FV-qKZB,
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@article{Popa-planar,
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	Coden = {INVMBH},
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	Fjournal = {Inventiones Mathematicae},
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	Journal = {Invent. Math.},
	Mrclass = {46L37},
	Mrnumber = {1334479 (96g:46051)},
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	Volume = {120},
	Year = {1995},
	Bdsk-Url-1 = {https://doi.org/10.1007/BF01241137}}

@article{Fis-halfmono,
	Arxiv = {math/0702637},
	Author = {Fischer, I.},
	Coden = {JCBTA7},
	Doi = {10.1016/j.jcta.2008.05.013},
	Fjournal = {Journal of Combinatorial Theory. Series A},
	Issn = {0097-3165},
	Journal = {J. Combin. Theory Ser. A},
	Mrclass = {05A15},
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	Number = {3},
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	Title = {An operator formula for the number of halved monotone triangles with prescribed bottom row},
	Volume = {116},
	Year = {2009},
	Bdsk-Url-1 = {https://doi.org/10.1016/j.jcta.2008.05.013}}

@article{RS-symASM,
	Arxiv = {math-ph/0312071},
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	Journal = {Theoret. and Math. Phys.},
	Mrclass = {05A15 (15A99 82B41)},
	Mrnumber = {2141132 (2005m:05017)},
	Mrreviewer = {Martin Klazar},
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	Volume = {141},
	Year = {2004}}

@article{RS-halfturn,
	Arxiv = {math-ph/0504022},
	Author = {Razumov, A. and Stroganov, Yu.},
	Doi = {10.1007/s11232-006-0111-8},
	Fjournal = {Rossi\u\i skaya Akademiya Nauk. Teoreticheskaya i Matematicheskaya Fizika},
	Issn = {0564-6162},
	Journal = {Teoret. Mat. Fiz.},
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	Mrnumber = {2283658 (2007j:05011)},
	Mrreviewer = {Vladimir S. Shevelev},
	Number = {3},
	Pages = {357--386},
	Title = {Enumeration of odd-order alternating-sign half-turn-symmetric matrices},
	Volume = {148},
	Year = {2006},
	Bdsk-Url-1 = {https://doi.org/10.1007/s11232-006-0111-8}}

@article{RS-quarterturn,
	Arxiv = {math-ph/0507003},
	Author = {Razumov, A. and Stroganov, Yu.},
	Doi = {10.1007/s11232-006-0148-8},
	Fjournal = {Rossi\u\i skaya Akademiya Nauk. Teoreticheskaya i Matematicheskaya Fizika},
	Issn = {0564-6162},
	Journal = {Teoret. Mat. Fiz.},
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	Bdsk-Url-1 = {https://doi.org/10.1007/s11232-006-0148-8}}

@misc{SDC-ASM,
	Author = {Stephens-Davidowitz, N. and Cloninger, A.},
	Title = {The Cyclic Sieving Phenomenon on the Alternating Sign Matrices},
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	Bdsk-Url-1 = {http://www.math.umn.edu/~reiner/REU/CloningerDavidowitz2007.pdf}}

@article{BP-ASM,
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	Mrnumber = {1691562 (2000k:15002)},
	Mrreviewer = {B. N. Moyls},
	Number = {6},
	Pages = {637--646},
	Title = {How the alternating sign matrix conjecture was solved},
	Volume = {46},
	Year = {1999}}

@article{Zeil-Robbins,
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	Doi = {10.1016/j.aam.2004.04.004},
	Fjournal = {Advances in Applied Mathematics},
	Issn = {0196-8858},
	Journal = {Adv. in Appl. Math.},
	Mrclass = {01A70 (05-03)},
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@article{Lal-ASM,
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	Coden = {DSMHA4},
	Doi = {10.1016/S0012-365X(02)00346-1},
	Fjournal = {Discrete Mathematics},
	Issn = {0012-365X},
	Journal = {Discrete Math.},
	Mrclass = {05A15 (05A30)},
	Mrnumber = {1935787 (2003j:05007)},
	Mrreviewer = {Zhi Guo Liu},
	Note = {LaCIM 2000 Conference on Combinatorics, Computer Science and Applications (Montreal, QC)},
	Number = {3},
	Pages = {759--773},
	Title = {{$q$}-enumeration of alternating sign matrices with exactly one {$-1$}},
	Volume = {256},
	Year = {2002},
	Bdsk-Url-1 = {https://doi.org/10.1016/S0012-365X(02)00346-1}}

@article{Lal-DPP,
	Author = {Lalonde, P.},
	Coden = {DSMHA4},
	Doi = {10.1016/S0012-365X(03)00159-6},
	Fjournal = {Discrete Mathematics},
	Issn = {0012-365X},
	Journal = {Discrete Math.},
	Mrclass = {05A19 (06A07)},
	Mrnumber = {1999553 (2004f:05015)},
	Number = {1-3},
	Pages = {311--319},
	Title = {Lattice paths and the antiautomorphism of the poset of descending plane partitions},
	Volume = {271},
	Year = {2003},
	Bdsk-Url-1 = {https://doi.org/10.1016/S0012-365X(03)00159-6}}

@article{BPZ-6v,
	Arxiv = {math-ph/0203025},
	Author = {Bogoliubov, N. and Pronko, A. and Zvonarev, M.},
	Coden = {JPHAC5},
	Doi = {10.1088/0305-4470/35/27/301},
	Fjournal = {Journal of Physics. A. Mathematical and General},
	Issn = {0305-4470},
	Journal = {J. Phys. A},
	Mrclass = {82B20},
	Mrnumber = {1917248 (2003d:82018)},
	Mrreviewer = {Azer Kerimov},
	Number = {27},
	Pages = {5525--5541},
	Title = {Boundary correlation functions of the six-vertex model},
	Volume = {35},
	Year = {2002},
	Bdsk-Url-1 = {https://doi.org/10.1088/0305-4470/35/27/301}}

@article{Lal-ASMDPP,
	Arxiv = {math/0401339},
	Author = {Lalonde, P.},
	Coden = {JCBTA7},
	Doi = {10.1016/j.jcta.2005.09.002},
	Fjournal = {Journal of Combinatorial Theory. Series A},
	Issn = {0097-3165},
	Journal = {J. Combin. Theory Ser. A},
	Mrclass = {05A15},
	Mrnumber = {2244128 (2007h:05012)},
	Mrreviewer = {Martin Rubey},
	Number = {6},
	Pages = {980--994},
	Title = {Alternating sign matrices with one {$-1$} under vertical reflection},
	Volume = {113},
	Year = {2006},
	Bdsk-Url-1 = {https://doi.org/10.1016/j.jcta.2005.09.002}}

@article{Ayy-DPP,
	Arxiv = {0909.4732},
	Author = {Ayyer, A.},
	Doi = {10.1016/j.ejc.2010.02.003},
	Fjournal = {European Journal of Combinatorics},
	Issn = {0195-6698},
	Journal = {European J. Combin.},
	Mrclass = {05A19 (05A05 05A15)},
	Mrnumber = {2673018},
	Number = {7},
	Pages = {1785--1791},
	Title = {A natural bijection between permutations and a family of descending plane partitions},
	Volume = {31},
	Year = {2010},
	Bdsk-Url-1 = {https://doi.org/10.1016/j.ejc.2010.02.003}}

@misc{Stri-ASMDPP,
	Arxiv = {1002.3391},
	Author = {Striker, J.},
	Title = {A Simple Bijection between Alternating Sign Matrices with no -1's and Descending Plane Partitions with no Special Parts}}

@article{Behr-osc,
	Arxiv = {math/0701755},
	Author = {Behrend, R.},
	Fjournal = {Electronic Journal of Combinatorics},
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	Mrclass = {05A15 (05E10)},
	Mrnumber = {2368912 (2008j:05015)},
	Number = {1},
	Pages = {Research Paper 7, 60 pp. (electronic)},
	Title = {Osculating paths and oscillating tableaux},
	Url = {http://www.combinatorics.org/Volume_15/Abstracts/v15i1r7.html},
	Volume = {15},
	Year = {2008},
	Bdsk-Url-1 = {http://www.combinatorics.org/Volume_15/Abstracts/v15i1r7.html}}

@article{DFGK-Lor,
	Arxiv = {hep-th/9907084},
	Author = {Di Francesco, P. and Guitter, E. and Kristjansen, C.},
	Coden = {NUPBBO},
	Doi = {10.1016/S0550-3213(99)00661-6},
	Fjournal = {Nuclear Physics. B},
	Issn = {0550-3213},
	Journal = {Nuclear Phys. B},
	Mrclass = {83C27 (82B41 83C80)},
	Mrnumber = {1741653 (2002a:83024)},
	Number = {3},
	Pages = {515--553},
	Title = {Integrable 2{D} {L}orentzian gravity and random walks},
	Volume = {567},
	Year = {2000},
	Bdsk-Url-1 = {https://doi.org/10.1016/S0550-3213(99)00661-6}}

@article{CEKZ,
	Arxiv = {math/9912053},
	Author = {Ciucu, M. and Eisenk{\"o}lbl, T. and Krattenthaler, C. and Zare, D.},
	Coden = {JCBTA7},
	Doi = {10.1006/jcta.2000.3165},
	Fjournal = {Journal of Combinatorial Theory. Series A},
	Issn = {0097-3165},
	Journal = {J. Combin. Theory Ser. A},
	Mrclass = {05A15 (05A30 52C20)},
	Mrnumber = {1845144 (2002j:05009)},
	Mrreviewer = {Laurent Vuillon},
	Number = {2},
	Pages = {251--334},
	Title = {Enumeration of lozenge tilings of hexagons with a central triangular hole},
	Volume = {95},
	Year = {2001},
	Bdsk-Url-1 = {https://doi.org/10.1006/jcta.2000.3165}}

@article{Kratt-det1,
	Arxiv = {math/9902004},
	Author = {Krattenthaler, C.},
	Fjournal = {S\'eminaire Lotharingien de Combinatoire},
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	Journal = {S\'em. Lothar. Combin.},
	Mrclass = {05A19 (15A15 33C99)},
	Mrnumber = {1701596 (2002i:05013)},
	Mrreviewer = {George E. Andrews},
	Note = {The Andrews Festschrift (Maratea, 1998)},
	Pages = {Art. B42q, 67 pp. (electronic)},
	Title = {Advanced determinant calculus},
	Volume = {42},
	Year = {1999}}

@article{Kratt-det2,
	Arxiv = {math/0503507},
	Author = {Krattenthaler, C.},
	Coden = {LAAPAW},
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	Fjournal = {Linear Algebra and its Applications},
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	Journal = {Linear Algebra Appl.},
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	Mrreviewer = {George E. Andrews},
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	Title = {Advanced determinant calculus: a complement},
	Volume = {411},
	Year = {2005},
	Bdsk-Url-1 = {https://doi.org/10.1016/j.laa.2005.06.042}}

@article{GX,
	Arxiv = {math/0505217},
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	Fjournal = {Electronic Journal of Combinatorics},
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	Journal = {Electron. J. Combin.},
	Mrclass = {05A15 (30B70 33C05)},
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	Mrreviewer = {Volker Strehl},
	Number = {1},
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	Url = {http://www.combinatorics.org/Volume_13/Abstracts/v13i1r53.html},
	Volume = {13},
	Year = {2006},
	Bdsk-Url-1 = {http://www.combinatorics.org/Volume_13/Abstracts/v13i1r53.html}}

@misc{CDLG,
	Author = {Cori, R. and Duchon, P. and Le Gac, F.},
	Title = {Comptage de matrices \`a signe alternant en fonction du nombre d'entr\'ees n\'egatives},
	Url = {www-apr.lip6.fr/alea2010/transparents/le_gac.pdf},
	Year = {2010},
	Bdsk-Url-1 = {www-apr.lip6.fr/alea2010/transparents/le_gac.pdf}}

@article{Fis-refASM,
	Arxiv = {math/0507270},
	Author = {Fischer, I.},
	Coden = {JCBTA7},
	Doi = {10.1016/j.jcta.2006.04.004},
	Fjournal = {Journal of Combinatorial Theory. Series A},
	Issn = {0097-3165},
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	Mrnumber = {2293090 (2007k:05012)},
	Mrreviewer = {David M. Bressoud},
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	Pages = {253--264},
	Title = {A new proof of the refined alternating sign matrix theorem},
	Volume = {114},
	Year = {2007},
	Bdsk-Url-1 = {https://doi.org/10.1016/j.jcta.2006.04.004}}

@misc{BCS-doublyref,
	Arxiv = {1101.3427},
	Author = {Biane, P. and Cantini, L. and Sportiello, A.},
	Title = {Doubly-refined enumeration of alternating sign matrices and determinants of 2-staircase Schur functions},
	Year = {2011}}

@article{Burge,
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	Mrclass = {05C30},
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	Volume = {17},
	Year = {1974}}

@misc{LeGac,
	Author = {Le Gac, F.},
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	Year = {2011},
	Bdsk-Url-1 = {http://www.labri.fr/perso/marckert/LeGac.pdf}}

@article{Sunda,
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	Fjournal = {Journal of Combinatorial Theory. Series A},
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	Mrclass = {05E10 (05A19 20C33 22E45)},
	Mrnumber = {1041446 (91i:05122)},
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	Volume = {53},
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	Bdsk-Url-1 = {https://doi.org/10.1016/0097-3165(90)90058-5}}

@misc{Roby-thesis,
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	Note = {PhD Thesis, Massachusetts Institute of Technology},
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	Year = {1991}}

@incollection{Stan-incrdecr,
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	Bdsk-Url-1 = {https://doi.org/10.4171/022-1/21}}

@misc{Sunda-thesis,
	Author = {Sundaram, S.},
	Note = {PhD Thesis, Massachusetts Institute of Technology},
	Title = {On the combinatorics of representations of {${\rm Sp}(2n,\mathbb{C})$}},
	Year = {1986}}

@book{Humph-refl,
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@book{Humph-conjclass,
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@book{Stan-EC2,
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@misc{Stan-ECsup,
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	Year = {1982}}

@book{Mo,
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	Volume = {143},
	Year = {2007}}

@article{MV1,
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	Bdsk-Url-1 = {https://doi.org/10.1023/A:1007465401183}}

@incollection{MV2,
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	Arxiv = {q-alg/9710040},
	Author = {Mukhin, E. and Varchenko, A.},
	Booktitle = {Differential topology, infinite-dimensional {L}ie algebras, and applications},
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	Pages = {189--209},
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	Series = {Amer. Math. Soc. Transl. Ser. 2},
	Title = {On algebraic equations satisfied by hypergeometric solutions of the q{KZ} equation},
	Volume = {194},
	Year = {1999}}

@incollection{MV3,
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	Volume = {27},
	Year = {2000}}

@article{V,
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	Volume = {10},
	Year = {2010}}

@article{W1,
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	Coden = {ACMAA8},
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	Mrnumber = {2570072 (2011d:33026)},
	Mrreviewer = {Laurent Habsieger},
	Number = {2},
	Pages = {269--304},
	Title = {A {S}elberg integral for the {L}ie algebra {$A_n$}},
	Volume = {203},
	Year = {2009},
	Bdsk-Url-1 = {https://doi.org/10.1007/s11511-009-0043-x}}

@article{W2,
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	Coden = {ADMTA4},
	Doi = {10.1016/j.aim.2009.11.011},
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	Mrreviewer = {Steven Joel Miller},
	Number = {2},
	Pages = {499--524},
	Title = {The {${\frak{sl}}_3$} {S}elberg integral},
	Volume = {224},
	Year = {2010},
	Bdsk-Url-1 = {https://doi.org/10.1016/j.aim.2009.11.011}}

@article{FScV,
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	Coden = {CMPHAY},
	Fjournal = {Communications in Mathematical Physics},
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	Mrreviewer = {V. A. Golubeva},
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	Pages = {173--184},
	Title = {On algebraic equations satisfied by hypergeometric correlators in {WZW} models. {I}},
	Url = {http://projecteuclid.org/getRecord?id=euclid.cmp/1104270384},
	Volume = {163},
	Year = {1994},
	Bdsk-Url-1 = {http://projecteuclid.org/getRecord?id=euclid.cmp/1104270384}}

@article{FScV2,
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	Coden = {CMPHAY},
	Fjournal = {Communications in Mathematical Physics},
	Issn = {0010-3616},
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	Mrnumber = {1277938 (96a:81044)},
	Mrreviewer = {V. A. Golubeva},
	Number = {1},
	Pages = {173--184},
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	Volume = {163},
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@article{FStV,
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	Number = {5-6},
	Pages = {671--684},
	Title = {Elliptic {S}elberg integrals and conformal blocks},
	Volume = {10},
	Year = {2003}}

@misc{RSV,
	Arxiv = {1007.3155},
	Author = {Rim\'anyi, R. and Schechtman, V. and Varchenko, A.},
	Note = {preprint},
	Title = {Conformal blocks and equivariant cohomology},
	Year = {2010}}

@article{Resh-OBA,
	Author = {Reshetikhin, N.},
	Coden = {LMPHDY},
	Doi = {10.1007/BF00420749},
	Fjournal = {Letters in Mathematical Physics. A Journal for the Rapid Dissemination of Short Contributions in the Field of Mathematical Physics},
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	Mrnumber = {1199739 (94g:17031)},
	Mrreviewer = {Vladimir A. Stukopin},
	Number = {3},
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	Title = {Jackson-type integrals, {B}ethe vectors, and solutions to a difference analog of the {K}nizhnik--{Z}amolodchikov system},
	Volume = {26},
	Year = {1992},
	Bdsk-Url-1 = {https://doi.org/10.1007/BF00420749}}

@incollection{RV-KZ,
	Arxiv = {hep-th/9402126},
	Author = {Reshetikhin, N. and Varchenko, A.},
	Booktitle = {Geometry, topology \& physics},
	Mrclass = {32G34 (81T40 82B23)},
	Mrnumber = {1358621 (96j:32025)},
	Mrreviewer = {V. A. Golubeva},
	Pages = {293--322},
	Publisher = {Int. Press, Cambridge, MA},
	Series = {Conf. Proc. Lecture Notes Geom. Topology, IV},
	Title = {Quasiclassical asymptotics of solutions to the {KZ} equations},
	Year = {1995}}

@article{RV,
	Author = {Rim\'anyi, R. and Varchenko, A.},
	Journal = {Ann. Fac. Sci. Toulouse Math.},
	Number = {6},
	Pages = {71--97},
	Title = {Conformal blocks in the tensor product of vector representations and localization formulas},
	Volume = {XX},
	Year = {2011}}

@article{EF,
	Author = {Enriquez, B. and Felder, G.},
	Doi = {10.1155/S1073792899000045},
	Fjournal = {International Mathematics Research Notices},
	Issn = {1073-7928},
	Journal = {Internat. Math. Res. Notices},
	Mrclass = {32G34 (17B37)},
	Mrnumber = {1670184 (2000j:32025)},
	Mrreviewer = {V. A. Golubeva},
	Number = {2},
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	Year = {1999},
	Bdsk-Url-1 = {https://doi.org/10.1155/S1073792899000045}}

@article{KZ,
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	Year = {2000},
	Bdsk-Url-1 = {http://dx.doi.org/10.1007/s002200000194}}

@article{Nakaj-quiv1,
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	Coden = {DUMJAO},
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	Mrclass = {53C25 (17B67 58D27 58E15)},
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	Mrreviewer = {Andrew Dancer},
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	Bdsk-Url-1 = {http://dx.doi.org/10.1215/S0012-7094-94-07613-8}}

@article{Nakaj-quiv2,
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	Coden = {DUMJAO},
	Doi = {10.1215/S0012-7094-98-09120-7},
	Fjournal = {Duke Mathematical Journal},
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	Mrclass = {17B67 (14D25 16G20 17B35 53C25 58F05)},
	Mrnumber = {1604167 (99b:17033)},
	Mrreviewer = {Michael M. Kapranov},
	Number = {3},
	Pages = {515--560},
	Title = {Quiver varieties and {K}ac--{M}oody algebras},
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	Volume = {91},
	Year = {1998},
	Bdsk-Url-1 = {http://dx.doi.org/10.1215/S0012-7094-98-09120-7}}

@article{Nakaj-quiv3,
	Arxiv = {math/9912158},
	Author = {Nakajima, H.},
	Doi = {10.1090/S0894-0347-00-00353-2},
	Fjournal = {Journal of the American Mathematical Society},
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	Journal = {J. Amer. Math. Soc.},
	Mrclass = {17B37 (14D21)},
	Mrnumber = {1808477 (2002i:17023)},
	Mrreviewer = {Olivier G. Schiffmann},
	Number = {1},
	Pages = {145--238},
	Title = {Quiver varieties and finite-dimensional representations of quantum affine algebras},
	Url = {http://dx.doi.org/10.1090/S0894-0347-00-00353-2},
	Volume = {14},
	Year = {2001},
	Bdsk-Url-1 = {http://dx.doi.org/10.1090/S0894-0347-00-00353-2}}

@article{Nakaj-quiv4,
	Arxiv = {math/0103008},
	Author = {Nakajima, H.},
	Coden = {INVMBH},
	Doi = {10.1007/PL00005810},
	Fjournal = {Inventiones Mathematicae},
	Issn = {0020-9910},
	Journal = {Invent. Math.},
	Mrclass = {17B37 (17B67)},
	Mrnumber = {1865400 (2003e:17023)},
	Mrreviewer = {Olivier G. Schiffmann},
	Number = {2},
	Pages = {399--449},
	Title = {Quiver varieties and tensor products},
	Url = {http://dx.doi.org/10.1007/PL00005810},
	Volume = {146},
	Year = {2001},
	Bdsk-Url-1 = {http://dx.doi.org/10.1007/PL00005810}}

@misc{MVy-slice,
	Arxiv = {0712.4160},
	Author = {Mirkovi{\'c}, I. and Vybornov, M.},
	Title = {Quiver varieties and {B}eilinson--{D}rinfeld {G}rassmannians of type {A}},
	Year = {2008}}

@article{KhLP-Yd,
	Arxiv = {q-alg/9602030},
	Author = {Khoroshkin, S. and Lebedev, D. and Pakuliak, S.},
	Coden = {PYLAAG},
	Doi = {10.1016/S0375-9601(96)00711-6},
	Fjournal = {Physics Letters. A},
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	Journal = {Phys. Lett. A},
	Mrclass = {81R10 (17B37 81T10)},
	Mrnumber = {1421718 (98b:81076)},
	Mrreviewer = {Andrey V. Tsiganov},
	Number = {6},
	Pages = {381--392},
	Title = {Intertwining operators for the central extension of the {Y}angian double},
	Url = {http://dx.doi.org/10.1016/S0375-9601(96)00711-6},
	Volume = {222},
	Year = {1996},
	Bdsk-Url-1 = {http://dx.doi.org/10.1016/S0375-9601(96)00711-6}}

@article{KhLP-Yd2,
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	Coden = {LMPHDY},
	Doi = {10.1023/A:1007372113466},
	Fjournal = {Letters in Mathematical Physics. A Journal for the Rapid Dissemination of Short Contributions in the Field of Mathematical Physics},
	Issn = {0377-9017},
	Journal = {Lett. Math. Phys.},
	Mrclass = {17B37 (16W30 81R50 81T10 82B23)},
	Mrnumber = {1455030 (98d:17025)},
	Number = {1},
	Pages = {31--47},
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	Url = {http://dx.doi.org/10.1023/A:1007372113466},
	Volume = {41},
	Year = {1997},
	Bdsk-Url-1 = {http://dx.doi.org/10.1023/A:1007372113466}}

@incollection{Kh-Yd,
	Arxiv = {q-alg/9602031},
	Author = {Khoroshkin, S.},
	Booktitle = {Alg\`ebre non commutative, groupes quantiques et invariants ({R}eims, 1995)},
	Mrclass = {17B37},
	Mrnumber = {1601127 (98j:17015)},
	Mrreviewer = {Andrei G. Bytsko},
	Pages = {119--135},
	Publisher = {Soc. Math. France, Paris},
	Series = {S\'emin. Congr.},
	Title = {Central extension of the {Y}angian double},
	Volume = {2},
	Year = {1997}}

@misc{GKV-coh,
	Arxiv = {q-alg/9505012},
	Author = {Ginzburg, V. and Kapranov, M. and Vasserot, E.},
	Title = {Elliptic Algebras and Equivariant Elliptic Cohomology},
	Year = {1995}}

@article{SW,
	Arxiv = {hep-th/9407087},
	Author = {Seiberg, N. and Witten, E.},
	Doi = {10.1016/0550-3213(94)90124-4},
	Journal = {Nucl. Phys.},
	Pages = {19-52},
	Title = {{Electric - magnetic duality, monopole condensation, and confinement in N=2 supersymmetric Yang-Mills theory}},
	Volume = {B426},
	Year = {1994},
	Bdsk-Url-1 = {https://doi.org/10.1016/0550-3213(94)90124-4}}

@inproceedings{NS,
	Arxiv = {0908.4052},
	Author = {Nekrasov, N. and Shatashvili, S.},
	Booktitle = {Correlators of local operators and 1/8 BPS Wilson loops on {$S^2$} from 2d YM and matrix models},
	Note = {Eds Giombi and Pestun},
	Pages = {0906--1572},
	Title = {Quantization of Integrable Systems and Four Dimensional Gauge Theories},
	Year = {2010}}

@misc{BKPT,
	Arxiv = {1401.1725},
	Author = {Buch, A. and Kresch, A. and Purbhoo, K. and Tamvakis, H.},
	Doi = {10.1007/s10801-016-0697-3},
	Fjournal = {Journal of Algebraic Combinatorics. An International Journal},
	Issn = {0925-9899},
	Journal = {J. Algebraic Combin.},
	Mrclass = {05E05 (14M15 14N15 14N35)},
	Mrnumber = {3566227},
	Number = {4},
	Pages = {973--1007},
	Title = {The puzzle conjecture for the cohomology of two-step flag manifolds},
	Volume = {44},
	Year = {2016},
	Bdsk-Url-1 = {https://doi.org/10.1007/s10801-016-0697-3}}

@misc{Bor-symfun,
	Arxiv = {1410.0976},
	Author = {Borodin, A.},
	Title = {On a family of symmetric rational functions},
	Year = {2014}}

@article{RS-spintwist,
	Arxiv = {cond-mat/0102247},
	Author = {Razumov, A. and Stroganov, Yu.},
	Coden = {JPHAC5},
	Doi = {10.1088/0305-4470/34/26/304},
	Fjournal = {Journal of Physics. A. Mathematical and General},
	Issn = {0305-4470},
	Journal = {J. Phys. A},
	Mrclass = {82B20 (05A15)},
	Mrnumber = {1855759 (2002j:82026)},
	Number = {26},
	Pages = {5335--5340},
	Title = {Spin chains and combinatorics: twisted boundary conditions},
	Volume = {34},
	Year = {2001},
	Bdsk-Url-1 = {https://doi.org/10.1088/0305-4470/34/26/304}}

@misc{Tiago-thesis,
	Author = {Fonseca, T.},
	Note = {PhD thesis, Universit{\'e} Pierre et Marie Curie (Paris 6)},
	Title = {Alternating Sign Matrices, completely Packed Loops and Plane Partitions},
	Url = {https://tel.archives-ouvertes.fr/tel-00521884/},
	Year = {2010},
	Bdsk-Url-1 = {https://tel.archives-ouvertes.fr/tel-00521884/}}

@article{RS-conj,
	Arxiv = {math/0104216},
	Author = {Razumov, A. and Stroganov, Yu.},
	Doi = {10.1023/B:TAMP.0000018450.36514.d7},
	Fjournal = {Rossi\u\i skaya Akademiya Nauk. Teoreticheskaya i Matematicheskaya Fizika},
	Issn = {0564-6162},
	Journal = {Teoret. Mat. Fiz.},
	Mrclass = {82B20},
	Mrnumber = {MR2077318 (2005f:82022)},
	Number = {3},
	Pages = {395--400},
	Title = {Combinatorial nature of the ground-state vector of the {$O(1)$} loop model},
	Volume = {138},
	Year = {2004},
	Bdsk-Url-1 = {https://doi.org/10.1023/B:TAMP.0000018450.36514.d7}}

@article{Schuler-BWM,
	Author = {Sch{\"u}ler, A.},
	Fjournal = {Seminar Sophus Lie},
	Issn = {0940-2268},
	Journal = {Sem. Sophus Lie},
	Mrclass = {16S99 (16W30 17B37 57M05)},
	Mrnumber = {1235749 (94h:16055)},
	Mrreviewer = {Andrey V. Tsiganov},
	Number = {1},
	Pages = {3--11},
	Title = {The {B}rauer algebra and the {B}irman--{W}enzl--{M}urakami algebra},
	Volume = {3},
	Year = {1993}}

@article{Wenzl-Brauer,
	Author = {Wenzl, H.},
	Coden = {ANMAAH},
	Doi = {10.2307/1971466},
	Fjournal = {Annals of Mathematics. Second Series},
	Issn = {0003-486X},
	Journal = {Ann. of Math. (2)},
	Mrclass = {20G05 (16A46 20C15 46L35)},
	Mrnumber = {951511 (89h:20059)},
	Mrreviewer = {Frederick Goodman},
	Number = {1},
	Pages = {173--193},
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	Volume = {128},
	Year = {1988},
	Bdsk-Url-1 = {https://doi.org/10.2307/1971466}}

@article{Kos-nilHecke,
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	Bdsk-Url-1 = {https://doi.org/10.1016/0001-8708(86)90101-5}}

@article{LS-Schubert,
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	Bdsk-Url-1 = {https://doi.org/10.1090/conm/088/1000001}}

@article{Las-facSchur,
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	Volume = {102},
	Year = {1974}}

@incollection{Macdo-Schur,
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	Bdsk-Url-1 = {https://doi.org/10.1108/EUM0000000002757}}

@incollection{Tym-eqcoh,
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	Author = {Tymoczko, J.},
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	Bdsk-Url-1 = {https://doi.org/10.1090/conm/388/07264}}

@book{Ful-Young,
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	Volume = {35},
	Year = {1997}}

@incollection{Brion-eqcoh,
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	Note = {Notes by Alvaro Rittatore},
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	Bdsk-Url-1 = {https://www-fourier.ujf-grenoble.fr/~mbrion/notesmontreal.pdf}}

@article{Brion1990,
	Author = {Brion, Michel},
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	Keywords = {vanishing theorem; spherical variety; Borel subgroup; line bundle},
	Number = {4},
	Pages = {655--660},
	Title = {Une extension du th{\'e}or{\`e}me de {B}orel--{W}eil.},
	Url = {http://eudml.org/doc/164656},
	Volume = {286},
	Year = {1990},
	Bdsk-Url-1 = {http://eudml.org/doc/164656}}

@incollection{Brion-flag,
	Author = {Brion, M.},
	Booktitle = {Topics in cohomological studies of algebraic varieties},
	Doi = {10.1007/3-7643-7342-3_2},
	Mrclass = {14M15 (14C35 19E08)},
	Mrnumber = {2143072 (2006f:14058)},
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	Series = {Trends Math.},
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	Bdsk-Url-1 = {https://www-fourier.ujf-grenoble.fr/~mbrion/lecturesrev.pdf},
	Bdsk-Url-2 = {https://doi.org/10.1007/3-7643-7342-3_2}}

@article{Vakil,
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	Author = {Vakil, R.},
	Coden = {ANMAAH},
	Doi = {10.4007/annals.2006.164.371},
	Fjournal = {Annals of Mathematics. Second Series},
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	Journal = {Ann. of Math. (2)},
	Mrclass = {05E10 (14N15)},
	Mrnumber = {2247964},
	Mrreviewer = {Grant Walker},
	Note = {Appendix A written with A. Knutson},
	Number = {2},
	Pages = {371--421},
	Title = {A geometric {L}ittlewood--{R}ichardson rule},
	Volume = {164},
	Year = {2006},
	Bdsk-Url-1 = {https://doi.org/10.4007/annals.2006.164.371}}

@article{Buch,
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	Author = {Buch, A.},
	Coden = {ACMAA8},
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	Fjournal = {Acta Mathematica},
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	Mrclass = {14M15 (05E05 05E15)},
	Mrnumber = {1946917},
	Mrreviewer = {Frank Sottile},
	Number = {1},
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	Title = {A {L}ittlewood--{R}ichardson rule for the {$K$}-theory of {G}rassmannians},
	Volume = {189},
	Year = {2002},
	Bdsk-Url-1 = {https://doi.org/10.1007/BF02392644}}

@article{Resh-On,
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	Coden = {JPHAC5},
	Fjournal = {Journal of Physics. A. Mathematical and General},
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	Journal = {J. Phys. A},
	Mrclass = {82B23 (82B20)},
	Mrnumber = {1118538},
	Number = {10},
	Pages = {2387--2396},
	Title = {A new exactly solvable case of an {${\rm O}(n)$}-model on a hexagonal lattice},
	Volume = {24},
	Year = {1991}}

@article{AGM-Kpos,
	Arxiv = {0808.2785},
	Author = {Anderson, D. and Griffeth, S. and Miller, E.},
	Doi = {10.4171/JEMS/244},
	Fjournal = {Journal of the European Mathematical Society (JEMS)},
	Issn = {1435-9855},
	Journal = {J. Eur. Math. Soc. (JEMS)},
	Mrclass = {14C35 (14C17 14M15 19L47)},
	Mrnumber = {2735076},
	Mrreviewer = {Harry Tamvakis},
	Number = {1},
	Pages = {57--84},
	Title = {Positivity and {K}leiman transversality in equivariant {$K$}-theory of homogeneous spaces},
	Volume = {13},
	Year = {2011},
	Bdsk-Url-1 = {https://doi.org/10.4171/JEMS/244}}

@misc{CSu,
	Arxiv = {1501.04214},
	Author = {Su, C.},
	Title = {Restriction formula for stable basis of {S}pringer resolution},
	Year = {2015}}

@article{KRosu,
	Author = {Rosu, I.},
	Coden = {MAZEAX},
	Doi = {10.1007/s00209-002-0447-1},
	Fjournal = {Mathematische Zeitschrift},
	Issn = {0025-5874},
	Journal = {Math. Z.},
	Mrclass = {19L47 (14F43)},
	Mrnumber = {1970011},
	Mrreviewer = {Gabriele Vezzosi},
	Note = {With an appendix by Allen Knutson and Rosu},
	Number = {3},
	Pages = {423--448},
	Title = {Equivariant {$K$}-theory and equivariant cohomology},
	Url = {http://dx.doi.org/10.1007/s00209-002-0447-1},
	Volume = {243},
	Year = {2003},
	Bdsk-Url-1 = {http://dx.doi.org/10.1007/s00209-002-0447-1}}

@article{VV,
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	Coden = {DUMJAO},
	Doi = {10.1215/S0012-7094-02-11311-8},
	Fjournal = {Duke Mathematical Journal},
	Issn = {0012-7094},
	Journal = {Duke Math. J.},
	Mrclass = {19E08 (14L30)},
	Mrnumber = {1905391},
	Mrreviewer = {Yuichiro Takeda},
	Number = {1},
	Pages = {1--55},
	Title = {Higher algebraic {$K$}-theory of group actions with finite stabilizers},
	Url = {http://dx.doi.org/10.1215/S0012-7094-02-11311-8},
	Volume = {113},
	Year = {2002},
	Bdsk-Url-1 = {http://dx.doi.org/10.1215/S0012-7094-02-11311-8}}

@article{KMS,
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	Coden = {INVMBH},
	Doi = {10.1007/s00222-006-0505-0},
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	Mrclass = {14M15 (05E15)},
	Mrnumber = {2249801},
	Mrreviewer = {Harry Tamvakis},
	Number = {2},
	Pages = {229--325},
	Title = {Four positive formulae for type {$A$} quiver polynomials},
	Url = {http://dx.doi.org/10.1007/s00222-006-0505-0},
	Volume = {166},
	Year = {2006},
	Bdsk-Url-1 = {http://dx.doi.org/10.1007/s00222-006-0505-0}}

@book{Weyman,
	Author = {Weyman, J.},
	Doi = {10.1017/CBO9780511546556},
	Isbn = {0-521-62197-6},
	Mrclass = {13D02 (13C40 14L30 14M12 14M15 14M17 20G15)},
	Mrnumber = {1988690},
	Mrreviewer = {Laurent Manivel},
	Pages = {xiv+371},
	Publisher = {Cambridge University Press, Cambridge},
	Series = {Cambridge Tracts in Mathematics},
	Title = {Cohomology of vector bundles and syzygies},
	Url = {http://dx.doi.org/10.1017/CBO9780511546556},
	Volume = {149},
	Year = {2003},
	Bdsk-Url-1 = {http://dx.doi.org/10.1017/CBO9780511546556}}

@book{Eisenbud,
	Author = {Eisenbud, D.},
	Doi = {10.1007/978-1-4612-5350-1},
	Isbn = {0-387-94268-8; 0-387-94269-6},
	Mrclass = {13-01 (14A05)},
	Mrnumber = {1322960},
	Mrreviewer = {Matthew Miller},
	Note = {With a view toward algebraic geometry},
	Pages = {xvi+785},
	Publisher = {Springer-Verlag, New York},
	Series = {Graduate Texts in Mathematics},
	Title = {Commutative algebra},
	Url = {http://dx.doi.org/10.1007/978-1-4612-5350-1},
	Volume = {150},
	Year = {1995},
	Bdsk-Url-1 = {http://dx.doi.org/10.1007/978-1-4612-5350-1}}

@article{EisenbudSturmfels,
	Author = {Eisenbud, D. and Sturmfels, B.},
	Coden = {DUMJAO},
	Doi = {10.1215/S0012-7094-96-08401-X},
	Fjournal = {Duke Mathematical Journal},
	Issn = {0012-7094},
	Journal = {Duke Math. J.},
	Mrclass = {13P10 (13A30 14M25)},
	Mrnumber = {1394747},
	Mrreviewer = {P. Schenzel},
	Number = {1},
	Pages = {1--45},
	Title = {Binomial ideals},
	Url = {http://dx.doi.org/10.1215/S0012-7094-96-08401-X},
	Volume = {84},
	Year = {1996},
	Bdsk-Url-1 = {http://dx.doi.org/10.1215/S0012-7094-96-08401-X}}

@book{Fulton-TVs,
	Author = {Fulton, W.},
	Doi = {10.1515/9781400882526},
	Isbn = {0-691-00049-2},
	Mrclass = {14M25 (14-02 14J30)},
	Mrnumber = {1234037},
	Mrreviewer = {T. Oda},
	Note = {The William H. Roever Lectures in Geometry},
	Pages = {xii+157},
	Publisher = {Princeton University Press, Princeton, NJ},
	Series = {Annals of Mathematics Studies},
	Title = {Introduction to toric varieties},
	Url = {http://dx.doi.org/10.1515/9781400882526},
	Volume = {131},
	Year = {1993},
	Bdsk-Url-1 = {http://dx.doi.org/10.1515/9781400882526}}

@misc{Ok-K,
	Arxiv = {1512.07363},
	Author = {Okounkov, A.},
	Title = {Lectures on {$K$}-theoretic computations in enumerative geometry},
	Year = {2015}}

@misc{AO-ell,
	Arxiv = {1604.00423},
	Author = {Aganagic, M. and Okounkov, A.},
	Title = {Elliptic stable envelope},
	Year = {2016}}

@article{Ra-CM,
	Author = {Ramanathan, A.},
	Coden = {INVMBH},
	Doi = {10.1007/BF01388607},
	Fjournal = {Inventiones Mathematicae},
	Issn = {0020-9910},
	Journal = {Invent. Math.},
	Mrclass = {14M15 (14L30)},
	Mrnumber = {788411},
	Mrreviewer = {H. H. Andersen},
	Number = {2},
	Pages = {283--294},
	Title = {Schubert varieties are arithmetically {C}ohen--{M}acaulay},
	Volume = {80},
	Year = {1985},
	Bdsk-Url-1 = {https://doi.org/10.1007/BF01388607}}

@article{BW,
	Author = {Birman, J. and Wenzl, H.},
	Coden = {TAMTAM},
	Doi = {10.2307/2001074},
	Fjournal = {Transactions of the American Mathematical Society},
	Issn = {0002-9947},
	Journal = {Trans. Amer. Math. Soc.},
	Mrclass = {57M25 (17B99 20F36)},
	Mrnumber = {992598},
	Mrreviewer = {Mark E. Kidwell},
	Number = {1},
	Pages = {249--273},
	Title = {Braids, link polynomials and a new algebra},
	Volume = {313},
	Year = {1989},
	Bdsk-Url-1 = {https://doi.org/10.2307/2001074}}

@article{Mura,
	Author = {Murakami, J.},
	Coden = {OJMAA7},
	Fjournal = {Osaka Journal of Mathematics},
	Issn = {0030-6126},
	Journal = {Osaka J. Math.},
	Mrclass = {57M25 (20C99 20F36)},
	Mrnumber = {927059},
	Mrreviewer = {J{\'o}zef H. Przytycki},
	Number = {4},
	Pages = {745--758},
	Title = {The {K}auffman polynomial of links and representation theory},
	Volume = {24},
	Year = {1987}}

@misc{BP-orb,
	Arxiv = {1412.5654},
	Author = {Bender, M. and Perrin, N.},
	Title = {SINGULARITIES OF CLOSURES OF SPHERICAL {$B$}-CONJUGACY CLASSES OF NILPOTENT ORBITS},
	Year = {2014}}

@article{WY-SchubGroth,
	Arxiv = {math/0409490},
	Author = {Woo, A. and Yong, A.},
	Coden = {ADMTA4},
	Doi = {10.1016/j.aim.2005.11.010},
	Fjournal = {Advances in Mathematics},
	Issn = {0001-8708},
	Journal = {Adv. Math.},
	Mrclass = {14M15},
	Mrnumber = {2264071},
	Mrreviewer = {Venkatramani Lakshmibai},
	Number = {1},
	Pages = {205--220},
	Title = {When is a {S}chubert variety {G}orenstein?},
	Volume = {207},
	Year = {2006},
	Bdsk-Url-1 = {https://doi.org/10.1016/j.aim.2005.11.010}}

@article{Svanes,
	Author = {Svanes, T.},
	Fjournal = {Advances in Mathematics},
	Issn = {0001-8708},
	Journal = {Advances in Math.},
	Mrclass = {14M15 (14N10)},
	Mrnumber = {0419469},
	Mrreviewer = {Joel Roberts},
	Pages = {369--453},
	Title = {Coherent cohomology on {S}chubert subschemes of flag schemes and applications},
	Volume = {14},
	Year = {1974}}

@article{Stanley-Groth,
	Author = {Stanley, R.},
	Fjournal = {Advances in Mathematics},
	Issn = {0001-8708},
	Journal = {Adv. Math.},
	Mrclass = {13D10 (13H10)},
	Mrnumber = {0485835},
	Mrreviewer = {Idun Reiten},
	Number = {1},
	Pages = {57--83},
	Title = {Hilbert functions of graded algebras},
	Volume = {28},
	Year = {1978}}

@article{Nienhuis-loop,
	Abstract = {Soluble O(n) models on the square lattice are found via the Yang-Baxter equations. In a parameter space of three coupling constants a number of distinct soluble cases are found for each value of n. Some of these constitute critical or multicritical points in the phase diagram. For all solutions the free energy per spin can be determined using the Bethe Ansatz. By studying the finite size corrections at the critical points, the critical exponents and the central charge can be found, in some cases analytically, and failing that, numerically by extrapolation of exact results for finite size systems.},
	Author = {Nienhuis, B.},
	Doi = {10.1016/0378-4371(90)90325-M},
	Fjournal = {Physica A: Statistical Mechanics and its Applications},
	Issn = {0378-4371},
	Journal = {Physica A},
	Number = {1},
	Pages = {152 - 157},
	Title = {Critical and multicritical {$O(n)$} models},
	Volume = {163},
	Year = {1990},
	Bdsk-Url-1 = {https://doi.org/10.1016/0378-4371(90)90325-M}}

@misc{LZZ-para,
	Arxiv = {1608.06554},
	Author = {Lenart, C. and Zainoulline, K. and Zhong, C.},
	Title = {Parabolic {K}azhdan--{L}usztig basis, {S}chubert classes, and equivariant oriented cohomology},
	Year = {2016}}

@article{tsi,
	Author = {Tsilevich, N. V.},
	Doi = {10.1007/s10688-006-0032-1},
	Fjournal = {Rossi\u\i skaya Akademiya Nauk. Funktsional\cprime ny\u\i\ Analiz i ego Prilozheniya},
	Issn = {0374-1990},
	Journal = {Functional Analysis and Its Applications},
	Mrclass = {81U40 (05E10 81S05 81V80)},
	Mrnumber = {2265685 (2008c:81205)},
	Mrreviewer = {Rostyslav O. Hryniv},
	Number = {3},
	Pages = {53--65, 96},
	Title = {The quantum inverse scattering problem method for the {$q$}-boson model, and symmetric functions},
	Volume = {40},
	Year = {2006},
	Bdsk-Url-1 = {https://doi.org/10.1007/s10688-006-0032-1}}

@article{Ful-flags,
	Author = {Fulton, W.},
	Doi = {10.1215/S0012-7094-92-06516-1},
	Fjournal = {Duke Mathematical Journal},
	Issn = {0012-7094},
	Journal = {Duke Math. J.},
	Mrclass = {14C17 (14M12 14M15)},
	Mrnumber = {1154177},
	Mrreviewer = {Piotr Pragacz},
	Number = {3},
	Pages = {381--420},
	Title = {Flags, {S}chubert polynomials, degeneracy loci, and determinantal formulas},
	Volume = {65},
	Year = {1992},
	Bdsk-Url-1 = {https://doi.org/10.1215/S0012-7094-92-06516-1}}

@book{CP-book,
	Author = {Chari, V. and Pressley, A.},
	Isbn = {0-521-43305-3},
	Mrclass = {17B37 (16W30 81R50)},
	Mrnumber = {1300632},
	Mrreviewer = {Tomasz Brzezi\AA „ski},
	Pages = {xvi+651},
	Publisher = {Cambridge University Press, Cambridge},
	Title = {A guide to quantum groups},
	Year = {1994}}

@misc{PY,
	Arxiv = {1508.00446},
	Author = {Pechenik, O. and Yong, A.},
	Title = {Equivariant {$K$}-theory of {G}rassmannians {II}: the {K}nutson--{V}akil conjecture},
	Year = {2015}}

@article{LS,
	Author = {Lascoux, A. and Sch{\"u}tzenberger, M.-P.},
	Coden = {CHASAP},
	Fjournal = {Comptes Rendus des S\'eances de l'Acad\'emie des Sciences. S\'erie I. Math\'ematique},
	Issn = {0249-6321},
	Journal = {C. R. Acad. Sci. Paris S\'er. I Math.},
	Mrclass = {14M17},
	Mrnumber = {686357},
	Number = {11},
	Pages = {629--633},
	Title = {Structure de {H}opf de l'anneau de cohomologie et de l'anneau de {G}rothendieck d'une vari\'et\'e de drapeaux},
	Volume = {295},
	Year = {1982}}

@article{FultonSurvey,
	Author = {Fulton, W.},
	Journal = {S{\'e}minaire Bourbaki},
	Pages = {255--269},
	Title = {Eigenvalues of sums of {H}ermitian matrices},
	Volume = {40},
	Year = {1998}}

@article{Zelevinsky,
	Arxiv = {math/9704228},
	Author = {Zelevinsky, A.},
	Journal = {New perspectives in algebraic combinatorics (Berkeley, CA, 1996--97), Math. Sci. Res. Inst. Publ},
	Pages = {337--345},
	Title = {Littlewood--{R}ichardson semigroups},
	Volume = {38},
	Year = {1999}}

@article{BuchHT,
	Arxiv = {1401.3065},
	Author = {Buch, A.},
	Doi = {10.4007/annals.2015.182.1.4},
	Fjournal = {Annals of Mathematics},
	Journal = {Ann. of Math.},
	Mrnumber = {3374959},
	Pages = {173--220},
	Title = {Mutations of puzzles and equivariant cohomology of two-step flag varieties},
	Volume = {182},
	Year = {2015},
	Bdsk-Url-1 = {https://doi.org/10.4007/annals.2015.182.1.4}}

@article{Graham,
	Arxiv = {math/9908172},
	Author = {Graham, W.},
	Journal = {Duke Mathematical Journal},
	Number = {3},
	Pages = {599--614},
	Publisher = {Duke University Press},
	Title = {Positivity in equivariant {S}chubert calculus},
	Volume = {109},
	Year = {2001}}

@inproceedings{CV,
	Arxiv = {math/0610538},
	Author = {Coskun, I. and Vakil, R.},
	Booktitle = {Proc. Sympos. Pure Math},
	Pages = {77--124},
	Title = {Geometric positivity in the cohomology of homogeneous spaces and generalized {S}chubert calculus},
	Volume = {80},
	Year = {2009}}

@article{BarotGeissZelevinsky,
	Arxiv = {math/0411341},
	Author = {Barot, M. and Geiss, C. and Zelevinsky, A.},
	Journal = {Journal of the London Mathematical Society},
	Number = {3},
	Pages = {545--564},
	Publisher = {Oxford University Press},
	Title = {Cluster algebras of finite type and positive symmetrizable matrices},
	Volume = {73},
	Year = {2006}}

@article{GLSprep,
	Arxiv = {math/0402448},
	Author = {Geiss, C. and Leclerc, B. and Schr\"oer, J.},
	Doi = {10.1016/j.ansens.2004.12.001},
	Fjournal = {Annales Scientifiques de l'\'Ecole Normale Sup\'erieure. Quatri\`eme S\'erie},
	Issn = {0012-9593},
	Journal = {Ann. Sci. \'Ecole Norm. Sup. (4)},
	Mrclass = {17B37 (16G20)},
	Mrnumber = {2144987},
	Mrreviewer = {Andrew W. Hubery},
	Number = {2},
	Pages = {193--253},
	Title = {Semicanonical bases and preprojective algebras},
	Volume = {38},
	Year = {2005},
	Bdsk-Url-1 = {https://doi.org/10.1016/j.ansens.2004.12.001}}

@article{BuchKGr,
	Author = {Buch, A. S.},
	Doi = {10.1007/BF02392644},
	Fjournal = {Acta Mathematica},
	Issn = {0001-5962},
	Journal = {Acta Math.},
	Mrclass = {14M15 (05E05 05E15)},
	Mrnumber = {1946917},
	Mrreviewer = {Frank Sottile},
	Number = {1},
	Pages = {37--78},
	Title = {A {L}ittlewood--{R}ichardson rule for the {$K$}-theory of {G}rassmannians},
	Url = {http://dx.doi.org/10.1007/BF02392644},
	Volume = {189},
	Year = {2002},
	Bdsk-Url-1 = {http://dx.doi.org/10.1007/BF02392644}}

@article{AGM,
	Arxiv = {0808.2785},
	Author = {Anderson, D. and Griffeth, S. and Miller, E.},
	Doi = {10.4171/JEMS/244},
	Fjournal = {Journal of the European Mathematical Society (JEMS)},
	Issn = {1435-9855},
	Journal = {J. Eur. Math. Soc. (JEMS)},
	Mrclass = {14C35 (14C17 14M15 19L47)},
	Mrnumber = {2735076},
	Mrreviewer = {Harry Tamvakis},
	Number = {1},
	Pages = {57--84},
	Title = {Positivity and {K}leiman transversality in equivariant {$K$}-theory of homogeneous spaces},
	Volume = {13},
	Year = {2011},
	Bdsk-Url-1 = {https://doi.org/10.4171/JEMS/244}}

@article{JScott,
	Arxiv = {math/0311148},
	Author = {Scott, J.},
	Journal = {Proceedings of the London Mathematical Society},
	Number = {2},
	Pages = {345--380},
	Publisher = {Oxford University Press},
	Title = {Grassmannians and cluster algebras},
	Volume = {92},
	Year = {2006}}

@misc{oeis131027,
	Author = {Sloane, N.},
	Note = {Sequence A131027},
	Title = {The On-Line Encyclopedia of Integer Sequences},
	Url = {http://oeis.org/A131027},
	Bdsk-Url-1 = {http://oeis.org/A131027}}

@misc{ShendeTWZ,
	Arxiv = {1512.08942},
	Author = {Shende, V. and Treumann, D. and Williams, H. and Zaslow, E.},
	Title = {Cluster varieties from {L}egendrian knots},
	Year = {2015}}

@misc{SZZ-Kstable,
	Arxiv = {1708.08013},
	Author = {Su, C. and Zhao, G. and Zhong, C.},
	Title = {On the {$K$}-theory stable bases of the {S}pringer resolution},
	Year = {2017}}

@book{SPLAG,
	Author = {Conway, J. and Sloane, N.},
	Doi = {10.1007/978-1-4757-6568-7},
	Edition = {Third},
	Isbn = {0-387-98585-9},
	Mrclass = {11H31 (05B40 11H06 20D08 52C07 52C17 94B75 94C30)},
	Mrnumber = {1662447},
	Mrreviewer = {Renaud Coulangeon},
	Note = {With additional contributions by E. Bannai, R. E. Borcherds, J. Leech, S. P. Norton, A. M. Odlyzko, R. A. Parker, L. Queen and B. B. Venkov},
	Pages = {lxxiv+703},
	Publisher = {Springer-Verlag, New York},
	Series = {Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences]},
	Title = {Sphere packings, lattices and groups},
	Volume = {290},
	Year = {1999},
	Bdsk-Url-1 = {https://doi.org/10.1007/978-1-4757-6568-7}}

@article{BE-On,
	Arxiv = {0910.5896},
	Author = {Borot, G. and Eynard, B.},
	Fjournal = {Journal of Statistical Mechanics: Theory and Experiment},
	Issn = {1742-5468},
	Journal = {J. Stat. Mech. Theory Exp.},
	Mrclass = {82B41 (05A15 05C10 81T40)},
	Mrnumber = {2770626},
	Mrreviewer = {Brad Safnuk},
	Number = {1},
	Pages = {P01010, 62},
	Title = {Enumeration of maps with self avoiding loops and the {$O(n)$} model on random lattices of all topologies},
	Year = {2011}}

@book{DSS-modular,
	Author = {Diamond, F. and Sturmfels, B. and Shurman, J. and Springer Science+Business Media},
	Isbn = {9780387232294},
	Lccn = {2004058971},
	Publisher = {Springer},
	Series = {Graduate Texts in Mathematics},
	Title = {A First Course in Modular Forms},
	Year = {2005}}

@book{Berndt-Rama,
	Author = {Berndt, B. C.},
	Doi = {10.1007/978-1-4612-1624-7},
	Publisher = {Springer Publishing Company, Incorporated},
	Title = {Ramanujan's Notebooks --- Part V},
	Year = {1998},
	Bdsk-Url-1 = {https://doi.org/10.1007/978-1-4612-1624-7}}

@inbook{Zagier-ellipt,
	Abstract = {These notes give a brief introduction to a number of topics in the classical theory of modular forms. Some of theses topics are (planned) to be treated in much more detail in a book, currently in preparation, based on various courses held at the Coll{\`e}ge de France in the years 2000--2004. Here each topic is treated with the minimum of detail needed to convey the main idea, and longer proofs are omitted.},
	Address = {Berlin, Heidelberg},
	Author = {Zagier, D.},
	Booktitle = {The 1-2-3 of Modular Forms: Lectures at a Summer School in Nordfjordeid, Norway},
	Doi = {10.1007/978-3-540-74119-0_1},
	Editor = {Ranestad, K.},
	Isbn = {978-3-540-74119-0},
	Pages = {1--103},
	Publisher = {Springer Berlin Heidelberg},
	Title = {Elliptic Modular Forms and Their Applications},
	Year = {2008},
	Bdsk-Url-1 = {https://doi.org/10.1007/978-3-540-74119-0_1}}