%% This BibTeX bibliography file was created using BibDesk. %% http://bibdesk.sourceforge.net/ %% Created for Maciej Dołęga at 2020-09-25 16:28:52 +0200 %% Saved with string encoding Unicode (UTF-8) @comment{x-kbibtex-personnameformatting=<%l><, %f>} @preamble{"\def\cprime{$'$}"} @article{NatanzonOrlov2017, Author = {Natanzon, S. M. and Orlov, A. Yu.}, Date-Added = {2020-09-25 16:28:30 +0200}, Date-Modified = {2020-09-25 16:28:51 +0200}, Fjournal = {Letters in Mathematical Physics}, Issn = {0377-9017}, Journal = {Lett. Math. Phys.}, Mrclass = {14N10 (17B80 35Q51 35Q53 35Q55 37K20 37K30 81R12)}, Mrnumber = {3647081}, Mrreviewer = {Eugenii Shustin}, Number = {6}, Pages = {1065--1109}, Title = {B{KP} and projective {H}urwitz numbers}, Volume = {107}, Year = {2017}, Bdsk-Url-1 = {https://doi.org/10.1007/s11005-017-0944-0}} @unpublished{OrlovScherbin2000, Author = {Orlov, A. Yu. and Scherbin, D. M.}, Date-Added = {2020-09-24 16:38:07 +0200}, Date-Modified = {2020-09-24 16:47:43 +0200}, Note = {Preprint arXiv:nlin/0001001}, Title = {{Fermionic representation for basic hypergeometric functions related to Schur polynomials}}, Year = {2000}} @incollection{BozejkoSzwarc2003, Author = {Bo\.{z}ejko, M. and Szwarc, R.}, Booktitle = {Asymptotic combinatorics with applications to mathematical physics ({S}t. {P}etersburg, 2001)}, Date-Added = {2020-07-08 12:26:07 +0200}, Date-Modified = {2020-07-08 12:26:26 +0200}, Mrclass = {20F55 (20C15)}, Mrnumber = {2009841}, Mrreviewer = {O. V. Shvartsman}, Pages = {201--221}, Publisher = {Springer, Berlin}, Series = {Lecture Notes in Math.}, Title = {Algebraic length and {P}oincar\'{e} series on reflection groups with applications to representations theory}, Volume = {1815}, Year = {2003}, Bdsk-Url-1 = {https://doi.org/10.1007/3-540-44890-X_9}} @book{BorodinOlshanski2017, Author = {Borodin, A. and Olshanski, G.}, Date-Added = {2020-07-08 11:57:10 +0200}, Date-Modified = {2020-07-08 11:57:30 +0200}, Isbn = {978-1-107-17555-6}, Mrclass = {20C32 (05E10 05E45 22D10 60J50 60K35)}, Mrnumber = {3618143}, Mrreviewer = {Sevak Mkrtchyan}, Pages = {vii+160}, Publisher = {Cambridge University Press, Cambridge}, Series = {Cambridge Studies in Advanced Mathematics}, Title = {Representations of the infinite symmetric group}, Volume = {160}, Year = {2017}, Bdsk-Url-1 = {https://doi.org/10.1017/CBO9781316798577}} @incollection{HiraiHirai2002, Author = {Hirai, T. and Hirai, E.}, Booktitle = {Non-commutativity, infinite-dimensionality and probability at the crossroads}, Date-Added = {2020-07-08 11:45:45 +0200}, Date-Modified = {2020-07-08 11:57:54 +0200}, Mrclass = {20C15 (20C32 22D10 43A40)}, Mrnumber = {2059866}, Mrreviewer = {Nobuaki Obata}, Pages = {296--317}, Publisher = {World Sci. Publ., River Edge, NJ}, Series = {QP--PQ: Quantum Probab. White Noise Anal.}, Title = {Characters for the infinite {W}eyl groups of type {$B_\infty/C_\infty$} and {$D_\infty$}, and for analogous groups}, Volume = {16}, Year = {2002}, Bdsk-Url-1 = {https://doi.org/10.1142/9789812705242_0011}} @article{BozejkoGuta2002, Author = {Bo\.{z}ejko, M. and Gu\c{t}\u{a}, M.}, Date-Added = {2020-07-08 11:43:15 +0200}, Date-Modified = {2020-07-08 11:43:31 +0200}, Fjournal = {Communications in Mathematical Physics}, Issn = {0010-3616}, Journal = {Comm. Math. Phys.}, Mrclass = {81S25 (20C32 46L55 60H40 81R15)}, Mrnumber = {1923173}, Mrreviewer = {Michael Skeide}, Number = {2}, Pages = {209--227}, Title = {Functors of white noise associated to characters of the infinite symmetric group}, Volume = {229}, Year = {2002}, Bdsk-Url-1 = {https://doi.org/10.1007/s00220-002-0687-2}} @article{AdlervanMoerbeke2001, Author = {Adler, M. and van Moerbeke, P.}, Date-Added = {2020-04-02 21:08:07 +0200}, Date-Modified = {2020-04-02 21:08:30 +0200}, Fjournal = {Annals of Mathematics. Second Series}, Issn = {0003-486X}, Journal = {Ann. of Math. (2)}, Mrclass = {82B31 (34M55 37K60 37N20 82B44)}, Mrnumber = {1826412}, Mrreviewer = {Estelle L. Basor}, Number = {1}, Pages = {149--189}, Title = {Hermitian, symmetric and symplectic random ensembles: {PDE}s for the distribution of the spectrum}, Volume = {153}, Year = {2001}, Bdsk-Url-1 = {https://doi.org/10.2307/2661373}} @article{Sundaram1990, Author = {Sundaram, S.}, Date-Added = {2020-03-30 13:18:53 +0200}, Date-Modified = {2020-03-30 13:18:53 +0200}, Journal = {Invariant Theory and Tableaux, IMA Vol. in Math}, Pages = {191-225}, Title = {Tableaux in the representation theory of classical groups.}, Volume = {19}, Year = {1990}} @article{Kwon2018, Author = {J.-H. Kwon}, Date-Added = {2020-03-30 13:18:53 +0200}, Date-Modified = {2020-03-30 13:18:53 +0200}, Journal = {Trans. Amer. Math. Soc.}, Keywords = {MSC(2010): 17B37, 22E46, 05E10}, Pages = {6125-6152}, Title = {Combinatorial extension of stable branching rules for classical groups}, Volume = {370}, Year = {2018}} @article{SchumannTorres2018, Author = {Schumann, B. and Torres, J.}, Date-Added = {2020-03-30 13:18:30 +0200}, Date-Modified = {2020-03-30 13:18:30 +0200}, Fjournal = {Proceedings of the London Mathematical Society. Third Series}, Issn = {0024-6115}, Journal = {Proc. Lond. Math. Soc. (3)}, Mrclass = {22E25 (05E05 05E10 20G05)}, Mrnumber = {3877772}, Mrreviewer = {A. Joseph Kennedy}, Number = {5}, Pages = {1077--1100}, Title = {A non-{L}evi branching rule in terms of {L}ittelmann paths}, Volume = {117}, Year = {2018}, Bdsk-Url-1 = {https://mathscinet.ams.org/mathscinet-getitem?mr=3877772}} @article{GuionnetHuang2019, Abstract = {Abstract We study discrete β-ensembles as introduced in [17]. We obtain rigidity estimates on the particle locations; i.e., with high probability, the particles are close to their classical locations with an optimal error estimate. We prove the edge universality of the discrete β-ensembles; i.e., for β ≥ 1, the distribution of extreme particles converges to the Tracy-Widom β-distribution. As far as we know, this is the first proof of general Tracy-Widom β-distributions in the discrete setting. A special case of our main results implies that under the Jack deformation of the Plancherel measure, the distribution of the lengths of the first few rows in Young diagrams converges to the Tracy-Widom β-distribution, which answers an open problem in [38]. Our proof relies on Nekrasov's (or loop) equations, a multiscale analysis, and a comparison argument with continuous β-ensembles. {\copyright} 2019 Wiley Periodicals, Inc.}, Author = {Guionnet, A. and Huang, J.}, Date-Added = {2020-03-27 20:11:37 +0100}, Date-Modified = {2020-03-27 20:12:23 +0100}, Eprint = {https://onlinelibrary.wiley.com/doi/pdf/10.1002/cpa.21818}, Journal = {Communications on Pure and Applied Mathematics}, Number = {9}, Pages = {1875-1982}, Title = {{Rigidity and Edge Universality of Discrete $\beta$-Ensembles}}, Volume = {72}, Year = {2019}, Bdsk-Url-1 = {https://onlinelibrary.wiley.com/doi/abs/10.1002/cpa.21818}, Bdsk-Url-2 = {https://doi.org/10.1002/cpa.21818}} @phdthesis{lepoutre:thesis, Author = {Lepoutre, M.}, Date-Added = {2020-03-25 16:08:36 +0100}, Date-Modified = {2020-03-25 16:08:36 +0100}, Hal_Id = {tel-02326948}, Hal_Version = {v1}, Keywords = {Combinatorial maps ; Bijective combinatorics ; Higher genus maps ; Multitriangulations ; Rationality ; Cartes combinatoires ; Combinatoire bijective ; Cartes en genre sup{\'e}rieur ; Mutlitriangulations ; Rationalit{\'e}}, Month = Sep, Number = {2019SACLX067}, Pdf = {https://tel.archives-ouvertes.fr/tel-02326948/file/85475_LEPOUTRE_2019_archivage.pdf}, School = {{Universit{\'e} Paris-Saclay}}, Title = {{Blossoming bijections, multitriangulations : What about other surfaces?}}, Type = {Theses}, Year = {2019}, Bdsk-Url-1 = {https://tel.archives-ouvertes.fr/tel-02326948}} @unpublished{Bettinelli2015, Archiveprefix = {arXiv:1512.02208}, Author = {Bettinelli, J.}, Date-Added = {2020-03-25 16:07:42 +0100}, Date-Modified = {2020-03-25 16:07:42 +0100}, Note = {Preprint arXiv:1512.02208}, Primaryclass = {math.CO}, Title = {A bijection for nonorientable general maps}, Year = {2015}} @article{EynardOrantin2007, Author = {Eynard, B. and Orantin, N.}, Date-Added = {2020-03-25 16:04:46 +0100}, Date-Modified = {2020-03-25 16:04:46 +0100}, Fjournal = {Communications in Number Theory and Physics}, Issn = {1931-4523}, Journal = {Commun. Number Theory Phys.}, Mrclass = {14H15 (14N35 32A27 37K10 37K20 81T45)}, Mrnumber = {2346575}, Mrreviewer = {Vincent Bouchard}, Number = {2}, Pages = {347--452}, Title = {Invariants of algebraic curves and topological expansion}, Volume = {1}, Year = {2007}, Bdsk-Url-1 = {https://doi.org/10.4310/CNTP.2007.v1.n2.a4}} @article{ChekhovEynardOrantin2006, Author = {Chekhov, L. and Eynard, B. and Orantin, N.}, Date-Added = {2020-03-25 16:04:19 +0100}, Date-Modified = {2020-03-27 20:14:23 +0100}, Fjournal = {Journal of High Energy Physics. A SISSA Journal}, Issn = {1126-6708}, Journal = {J. High Energy Phys.}, Mrclass = {81T45 (15A52)}, Mrnumber = {2276699}, Mrreviewer = {Gernot Akemann}, Number = {12}, Pages = {053, 31}, Title = {Free energy topological expansion for the 2-matrix model}, Year = {2006}, Bdsk-Url-1 = {https://doi.org/10.1088/1126-6708/2006/12/053}} @article{ChapuyDolega2020a, Author = {Chapuy, G. and Do{\l}{\k e}ga, M.}, Date-Added = {2020-03-03 10:55:19 +0100}, Date-Modified = {2020-03-03 10:56:04 +0100}, Eprint = {2004.07824}, Eprinttype = {arXiv}, Title = {{Non-orientable covers, $b$-Hurwitz numbers, and positivity for multiparametric Jack expansions: Appendix}}, Year = {2020}} @article{ChapuyDolega2020, Author = {Chapuy, G. and Do{\l}{\k e}ga, M.}, Date-Added = {2020-03-03 10:53:46 +0100}, Date-Modified = {2020-03-03 10:55:13 +0100}, Eprint = {2004.07824}, Eprinttype = {arXiv}, Title = {{Non-orientable covers, $b$-Hurwitz numbers, and positivity for multiparametric Jack expansions}}, Year = {2020}} @article{WalshLehman1972, Author = {Walsh, T. R. S. and Lehman, A. B.}, Date-Added = {2020-02-24 10:38:28 +0100}, Date-Modified = {2020-02-24 10:39:30 +0100}, Fjournal = {Journal of Combinatorial Theory. Series B}, Issn = {0095-8956}, Journal = {J. Combinatorial Theory Ser. B}, Mrclass = {05C30}, Mrnumber = {314686}, Mrreviewer = {W. G. Brown}, Pages = {192--218}, Title = {Counting rooted maps by genus. {I}}, Volume = {13}, Year = {1972}, Bdsk-Url-1 = {https://doi.org/10.1016/0095-8956(72)90056-1}} @article{KanunnikovPromyslovVassilieva2018, Author = {Kanunnikov, A. L. and Promyslov, V. V. and Vassilieva, E. A.}, Date-Added = {2020-02-20 18:25:38 +0100}, Date-Modified = {2020-02-20 18:26:35 +0100}, Fjournal = {S\'{e}minaire Lotharingien de Combinatoire}, Journal = {S\'{e}m. Lothar. Combin.}, Mrclass = {05E05}, Mrnumber = {3940620}, Pages = {Art. 45, 12}, Title = {A labelled variant of the matchings-{J}ack and hypermap-{J}ack conjectures}, Volume = {80B}, Year = {2018}, Bdsk-Url-1 = {https://mathscinet.ams.org/mathscinet-getitem?mr=3940620}} @article{ItzyksonZuber1980, Author = {Itzykson, C. and Zuber, J. B.}, Date-Added = {2020-02-20 16:54:51 +0100}, Date-Modified = {2020-02-20 16:55:12 +0100}, Fjournal = {Journal of Mathematical Physics}, Issn = {0022-2488}, Journal = {J. Math. Phys.}, Mrclass = {81E99 (81G05)}, Mrnumber = {562985}, Number = {3}, Pages = {411--421}, Title = {The planar approximation. {II}}, Volume = {21}, Year = {1980}, Bdsk-Url-1 = {https://mathscinet.ams.org/mathscinet-getitem?mr=562985}} @article{HarishChandra1957, Author = {Harish-Chandra}, Date-Added = {2020-02-20 16:52:07 +0100}, Date-Modified = {2020-02-20 16:52:32 +0100}, Fjournal = {American Journal of Mathematics}, Issn = {0002-9327}, Journal = {Amer. J. Math.}, Mrclass = {17.0X}, Mrnumber = {84104}, Mrreviewer = {G. W. Mackey}, Pages = {87--120}, Title = {Differential operators on a semisimple {L}ie algebra}, Volume = {79}, Year = {1957}, Bdsk-Url-1 = {https://mathscinet.ams.org/mathscinet-getitem?mr=84104}} @article{Lecouvey2006, Author = {Lecouvey, C.}, Date-Added = {2019-12-11 11:18:45 +0100}, Date-Modified = {2019-12-11 11:18:59 +0100}, Fjournal = {European Journal of Combinatorics}, Issn = {0195-6698}, Journal = {European J. Combin.}, Mrclass = {05E15 (17B10)}, Mrnumber = {2215214}, Mrreviewer = {Jae-Hoon Kwon}, Number = {4}, Pages = {526--557}, Title = {Combinatorics of crystal graphs and {K}ostka-{F}oulkes polynomials for the root systems {$B_n,\ C_n$} and {$D_n$}}, Volume = {27}, Year = {2006}, Bdsk-Url-1 = {https://mathscinet.ams.org/mathscinet-getitem?mr=2215214}} @unpublished{DolegaLepoutre2020, Author = {Do{\l}{\k{e}}ga, M. and Lepoutre, M.}, Date-Added = {2019-12-10 20:03:09 +0100}, Date-Modified = {2020-03-25 16:06:28 +0100}, Note = {Preprint arXiv:2002.07238}, Title = {Blossoming bijection for bipartite pointed maps and parametric rationality of general maps on any surface}, Year = {2020}} @article{LapointeLascouxMorse2003, Author = {Lapointe, L. and Lascoux, A. and Morse, J.}, Date-Added = {2019-12-10 19:41:39 +0100}, Date-Modified = {2019-12-10 19:41:39 +0100}, Fjournal = {Duke Mathematical Journal}, Issn = {0012-7094}, Journal = {Duke Math. J.}, Mrclass = {05E05 (05E10)}, Mrnumber = {1950481}, Mrreviewer = {Michael A. Zabrocki}, Number = {1}, Pages = {103--146}, Title = {Tableau atoms and a new {M}acdonald positivity conjecture}, Volume = {116}, Year = {2003}, Bdsk-Url-1 = {https://mathscinet.ams.org/mathscinet-getitem?mr=1950481}} @article{Brylinski1989, Author = {Brylinski, R. K.}, Date-Added = {2019-11-19 19:24:39 +0100}, Date-Modified = {2020-03-30 13:19:50 +0200}, Fjournal = {Journal of the American Mathematical Society}, Issn = {0894-0347}, Journal = {J. Amer. Math. Soc.}, Mrclass = {17B10 (14M17 20G05 22E47)}, Mrnumber = {984511}, Mrreviewer = {James E. Humphreys}, Number = {3}, Pages = {517--533}, Title = {Limits of weight spaces, {L}usztig's {$q$}-analogs, and fiberings of adjoint orbits}, Volume = {2}, Year = {1989}, Bdsk-Url-1 = {https://mathscinet.ams.org/mathscinet-getitem?mr=984511}} @article{AnthonyLetzterZelikson2000, Author = {Joseph, A. and Letzter, G. and Zelikson, S.}, Date-Added = {2019-11-19 19:13:58 +0100}, Date-Modified = {2020-03-30 13:20:28 +0200}, Fjournal = {Journal of the American Mathematical Society}, Issn = {0894-0347}, Journal = {J. Amer. Math. Soc.}, Mrclass = {17B35 (17B10 17B37)}, Mrnumber = {1775740}, Mrreviewer = {H. H. Andersen}, Number = {4}, Pages = {945--970}, Title = {On the {B}rylinski-{K}ostant filtration}, Volume = {13}, Year = {2000}, Bdsk-Url-1 = {https://mathscinet.ams.org/mathscinet-getitem?mr=1775740}} @article{DolegaGerberTorres2019, Author = {Do{\l}{\k e}ga, M. and Gerber, T. and Torres, J.}, Date-Added = {2019-11-19 14:44:40 +0100}, Date-Modified = {2019-11-19 15:31:03 +0100}, Journal = {Preprint, arXiv:1911.06732.}, Title = {{A positive combinatorial formula for symplectic {K}ostka-{F}oulkes polynomials I: {R}ows}}, Year = {2019}} @manual{sagemath, Author = {{The Sage Developers}}, Date-Added = {2019-11-15 12:46:36 +0100}, Date-Modified = {2019-11-15 12:48:31 +0100}, Key = {SageMath}, Note = {{\tt https://www.sagemath.org}}, Title = {{S}ageMath, the {S}age {M}athematics {S}oftware {S}ystem ({V}ersion 7.2)}, Year = {2016}} @article{Lecouvey2002, Author = {Lecouvey, C.}, Date-Added = {2019-11-14 17:08:58 +0100}, Date-Modified = {2019-11-14 17:09:09 +0100}, Fjournal = {Journal of Algebra}, Issn = {0021-8693}, Journal = {J. Algebra}, Mrclass = {05E10 (17B37)}, Mrnumber = {1877856}, Mrreviewer = {Andrew Mathas}, Number = {2}, Pages = {295--331}, Title = {Schensted-type correspondence, plactic monoid, and jeu de taquin for type {$C_n$}}, Volume = {247}, Year = {2002}, Bdsk-Url-1 = {https://mathscinet.ams.org/mathscinet-getitem?mr=1877856}} @article{DeConcini1979, Author = {De Concini, C.}, Date-Added = {2019-11-14 13:45:47 +0100}, Date-Modified = {2019-11-14 13:46:03 +0100}, Fjournal = {Advances in Mathematics}, Issn = {0001-8708}, Journal = {Adv. in Math.}, Mrclass = {14M15 (05B20 15A72)}, Mrnumber = {547837}, Mrreviewer = {Vladimir L. Popov}, Number = {1}, Pages = {1--27}, Title = {Symplectic standard tableaux}, Volume = {34}, Year = {1979}, Bdsk-Url-1 = {https://mathscinet.ams.org/mathscinet-getitem?mr=547837}} @incollection{King1976, Author = {King, R. C.}, Booktitle = {Group theoretical methods in physics ({F}ourth {I}nternat. {C}olloq., {N}ijmegen, 1975)}, Date-Added = {2019-11-14 13:42:44 +0100}, Date-Modified = {2019-11-14 13:42:58 +0100}, Mrclass = {22E70}, Mrnumber = {0480895}, Mrreviewer = {R. Mirman}, Pages = {490--499. Lecture Notes in Phys., Vol. 50}, Title = {Weight multiplicities for the classical groups}, Year = {1976}, Bdsk-Url-1 = {https://mathscinet.ams.org/mathscinet-getitem?mr=0480895}} @article{KashiwaraNakashima1994, Author = {Kashiwara, M. and Nakashima, T.}, Date-Added = {2019-11-13 16:36:17 +0100}, Date-Modified = {2019-11-14 13:56:36 +0100}, Fjournal = {Journal of Algebra}, Issn = {0021-8693}, Journal = {J. Algebra}, Mrclass = {17B37 (17B10)}, Mrnumber = {1273277}, Mrreviewer = {Kailash C. Misra}, Number = {2}, Pages = {295--345}, Title = {Crystal graphs for representations of the {$q$}-analogue of classical {L}ie algebras}, Volume = {165}, Year = {1994}, Bdsk-Url-1 = {https://mathscinet.ams.org/mathscinet-getitem?mr=1273277}} @article{Littlewood1961, Author = {Littlewood, D. E.}, Date-Added = {2019-11-13 16:32:32 +0100}, Date-Modified = {2019-11-13 16:33:07 +0100}, Fjournal = {Proceedings of the London Mathematical Society. Third Series}, Issn = {0024-6115}, Journal = {Proc. London Math. Soc. (3)}, Mrclass = {20.85}, Mrnumber = {0130308}, Mrreviewer = {G. de B. Robinson}, Pages = {485--498}, Title = {On certain symmetric functions}, Volume = {11}, Year = {1961}, Bdsk-Url-1 = {https://mathscinet.ams.org/mathscinet-getitem?mr=0130308}} @article{Morris1963, Author = {Morris, A. O.}, Date-Added = {2019-11-13 16:29:58 +0100}, Date-Modified = {2019-11-14 13:57:00 +0100}, Fjournal = {Mathematische Zeitschrift}, Issn = {0025-5874}, Journal = {Math. Z.}, Mrclass = {20.80}, Mrnumber = {153750}, Mrreviewer = {D. E. Littlewood}, Pages = {112--123}, Title = {The characters of the group {$GL(n,\,q)$}}, Volume = {81}, Year = {1963}, Bdsk-Url-1 = {https://mathscinet.ams.org/mathscinet-getitem?mr=153750}} @incollection{Foulkes1974, Author = {Foulkes, H. O.}, Booktitle = {Permutations ({A}ctes {C}olloq., {U}niv. {R}en\'{e}-{D}escartes, {P}aris, 1972)}, Date-Added = {2019-11-13 16:14:07 +0100}, Date-Modified = {2019-11-13 16:14:28 +0100}, Mrclass = {05A10}, Mrnumber = {0416934}, Pages = {79--92}, Title = {A survey of some combinatorial aspects of symmetric functions}, Year = {1974}, Bdsk-Url-1 = {https://mathscinet.ams.org/mathscinet-getitem?mr=0416934}} @article{Butler1994, Author = {Butler, L. M.}, Date-Added = {2019-11-13 16:11:04 +0100}, Date-Modified = {2019-11-14 13:55:51 +0100}, Fjournal = {Memoirs of the American Mathematical Society}, Issn = {0065-9266}, Journal = {Mem. Amer. Math. Soc.}, Mrclass = {05E10 (05E05 20K27)}, Mrnumber = {1223236}, Mrreviewer = {A. O. Morris}, Number = {539}, Pages = {vi+160}, Title = {Subgroup lattices and symmetric functions}, Volume = {112}, Year = {1994}, Bdsk-Url-1 = {https://mathscinet.ams.org/mathscinet-getitem?mr=1223236}} @article{Kato1982, Author = {Kato, S.}, Date-Added = {2019-09-25 12:09:07 +0200}, Date-Modified = {2019-09-25 12:09:18 +0200}, Fjournal = {Inventiones Mathematicae}, Issn = {0020-9910}, Journal = {Invent. Math.}, Mrclass = {22E50 (05A19 20G05 43A90)}, Mrnumber = {662602}, Mrreviewer = {Ryoshi Hotta}, Number = {3}, Pages = {461--468}, Title = {Spherical functions and a {$q$}-analogue of {K}ostant's weight multiplicity formula}, Volume = {66}, Year = {1982}, Bdsk-Url-1 = {https://doi.org/10.1007/BF01389223}} @incollection{Lusztig1983, Author = {Lusztig, G.}, Booktitle = {Analysis and topology on singular spaces, {II}, {III} ({L}uminy, 1981)}, Date-Added = {2019-09-25 12:08:22 +0200}, Date-Modified = {2019-09-25 12:08:33 +0200}, Mrclass = {17B10 (05A30 20G05 22E47)}, Mrnumber = {737932}, Mrreviewer = {James E. Humphreys}, Pages = {208--229}, Publisher = {Soc. Math. France, Paris}, Series = {Ast\'{e}risque}, Title = {Singularities, character formulas, and a {$q$}-analog of weight multiplicities}, Volume = {101}, Year = {1983}} @incollection{NelsenRam2003, Author = {Nelsen, K. and Ram, A.}, Booktitle = {Surveys in combinatorics, 2003 ({B}angor)}, Date-Added = {2019-09-25 12:03:26 +0200}, Date-Modified = {2019-11-14 13:56:19 +0100}, Mrclass = {05E05 (05E10)}, Mrnumber = {2011741}, Mrreviewer = {Kendra Killpatrick}, Pages = {325--370}, Publisher = {Cambridge Univ. Press, Cambridge}, Series = {London Math. Soc. Lecture Note Ser.}, Title = {Kostka-{F}oulkes polynomials and {M}acdonald spherical functions}, Volume = {307}, Year = {2003}} @article{Sheats1999, Author = {Sheats, J. T.}, Date-Added = {2019-09-25 11:54:21 +0200}, Date-Modified = {2019-09-25 11:54:34 +0200}, Fjournal = {Transactions of the American Mathematical Society}, Issn = {0002-9947}, Journal = {Trans. Amer. Math. Soc.}, Mrclass = {05E15}, Mrnumber = {1466956}, Mrreviewer = {Ang\`ele M. Hamel}, Number = {9}, Pages = {3569--3607}, Title = {A symplectic jeu de taquin bijection between the tableaux of {K}ing and of {D}e {C}oncini}, Volume = {351}, Year = {1999}, Bdsk-Url-1 = {https://doi.org/10.1090/S0002-9947-99-02166-2}} @article{LecouveyLenart2019, Author = {Lecouvey, C. and Lenart, C.}, Date-Added = {2019-09-25 11:50:08 +0200}, Date-Modified = {2019-11-15 13:01:28 +0100}, Journal = {Int. Math. Res. Not. IMRN}, Keywords = {doi.org/10.1093/imrn/rny157}, Note = {doi.org/10.1093/imrn/rny157}, Title = {Combinatorics of Generalized Exponents}, Year = {2018}, Bdsk-Url-1 = {https://doi.org/10.1093/imrn/rny157}} @book{Lothaire2002, Author = {Lothaire, M.}, Date-Added = {2019-09-25 11:46:51 +0200}, Date-Modified = {2019-11-14 11:09:50 +0100}, Isbn = {0-521-81220-8}, Mrclass = {68R15 (05A99 05E10 20M35)}, Mrnumber = {1905123}, Mrreviewer = {Patrice S\'{e}\'{e}bold}, Pages = {xiv+504}, Publisher = {Cambridge University Press, Cambridge}, Series = {Encyclopedia of Mathematics and its Applications}, Title = {Algebraic combinatorics on words}, Volume = {90}, Year = {2002}, Bdsk-Url-1 = {https://doi.org/10.1017/CBO9781107326019}} @article{Lecouvey2005, Author = {Lecouvey, C.}, Date-Added = {2019-09-25 11:45:48 +0200}, Date-Modified = {2019-09-25 11:46:01 +0200}, Fjournal = {Journal of Algebraic Combinatorics. An International Journal}, Issn = {0925-9899}, Journal = {J. 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P. and Zwiernik, P.}, Date-Added = {2019-09-12 10:58:19 +0200}, Date-Modified = {2019-09-12 10:58:19 +0200}, Note = {ISBN: 978-1-119-10313-4, Book in preparation}, Publisher = {Wiley-Interscience}, Title = {Cumulants: Theory, Computation and Applications}} @book{EnumerativeCombinatorics2015, Date-Added = {2019-09-12 10:58:19 +0200}, Date-Modified = {2019-09-12 10:58:19 +0200}, Editor = {B\'ona, Mikl\'os}, Isbn = {978-1-4822-2085-8}, Mrclass = {05-00 (05A15 05A16 05E10)}, Mrnumber = {3408702}, Pages = {xxiii+1061}, Publisher = {CRC Press, Boca Raton, FL}, Series = {Discrete Mathematics and its Applications (Boca Raton)}, Title = {Handbook of enumerative combinatorics}, Year = {2015}} @book{FlajoletSedgewick2009book, Author = {Flajolet, P. and Sedgewick, R.}, Date-Added = {2019-09-12 10:58:19 +0200}, Date-Modified = {2019-09-12 10:58:19 +0200}, Publisher = {Cambridge University Press}, Title = {{Analytic Combinatorics}}, Year = {2009}} @book{Fulton1997, Author = {Fulton, William}, Date-Added = {2019-09-12 10:58:19 +0200}, Date-Modified = {2019-09-12 10:58:19 +0200}, Isbn = {0-521-56144-2; 0-521-56724-6}, Mrclass = {05E10 (05E05 05E15 14M15 20G05)}, Mrnumber = {1464693}, Mrreviewer = {Tadeusz J{\'o}zefiak}, Note = {With applications to representation theory and geometry}, Pages = {x+260}, Publisher = {Cambridge University Press, Cambridge}, Series = {London Mathematical Society Student Texts}, Title = {Young tableaux}, Volume = {35}, Year = {1997}, Bdsk-Url-1 = {http://mathscinet.ams.org/mathscinet-getitem?mr=1464693}} @book{GouldenJackson1983, Address = {New York}, Author = {Goulden, I. P. and Jackson, D. M.}, Date-Added = {2019-09-12 10:58:19 +0200}, Date-Modified = {2019-09-12 10:58:19 +0200}, Publisher = {J. Wiley and Sons}, Series = {{Wiley-Interscience Series in Discrete Mathematics}}, Title = {{Combinatorial Enumeration}}, Year = {1983 (Dover reprint 2004)}} @book{GrahamKnuthPatashnik, Author = {Graham, Ronald L. and Knuth, Donald and Patashnik, Oren}, Bdsk-Url-1 = {http://www.amazon.com/Concrete-Mathematics-Foundation-Computer-Science/dp/0201142368\%3FSubscriptionId\%3D0JYN1NVW651KCA56C102\%26tag\%3Dtechkie-20\%26linkCode\%3Dxm2\%26camp\%3D2025\%26creative\%3D165953\%26creativeASIN\%3D0201142368}, Bdsk-Url-2 = {http://www.amazon.com/Concrete-Mathematics-Foundation-Computer-Science/dp/0201142368\%3FSubscriptionId\%3D0JYN1NVW651KCA56C102\%26tag\%3Dtechkie-20\%26linkCode\%3Dxm2\%26camp\%3D2025\%26creative\%3D165953\%26creativeASIN\%3D0201142368}, Date-Added = {2019-09-12 10:58:19 +0200}, Date-Modified = {2019-09-12 10:58:19 +0200}, Isbn = {0201142368}, Publisher = {Addison-Wesley Pub (Sd)}, Title = {{Concrete Mathematics: A Foundation for Computer Science}}, Year = {1988}, Bdsk-Url-3 = {http://www.amazon.com/Concrete-Mathematics-Foundation-Computer-Science/dp/0201142368%3FSubscriptionId%3D0JYN1NVW651KCA56C102%26tag%3Dtechkie-20%26linkCode%3Dxm2%26camp%3D2025%26creative%3D165953%26creativeASIN%3D0201142368}} @book{Haglund2008, Author = {Haglund, J.}, Date-Added = {2019-09-12 10:58:19 +0200}, Date-Modified = {2019-09-12 10:58:19 +0200}, Isbn = {978-0-8218-4411-3; 0-8218-4411-3}, Mrclass = {05E05 (05A05 05A30 33D52)}, Mrnumber = {2371044}, Mrreviewer = {Michael A. Zabrocki}, Note = {With an appendix on the combinatorics of Macdonald polynomials}, Pages = {viii+167}, Publisher = {American Mathematical Society, Providence, RI}, Series = {University Lecture Series}, Title = {The {$q$},{$t$}-{C}atalan numbers and the space of diagonal harmonics}, Volume = {41}, Year = {2008}} @book{HiaiPetz2000, Address = {Providence, RI}, Author = {Hiai, Fumio and Petz, D{\'e}nes}, Date-Added = {2019-09-12 10:58:19 +0200}, Date-Modified = {2019-09-12 10:58:19 +0200}, Isbn = {0-8218-2081-8}, Mrclass = {46L54 (60B12 81S25)}, Mrnumber = {MR1746976 (2001j:46099)}, Mrreviewer = {Dimitri Y. Shlyakhtenko}, Pages = {x+376}, Publisher = {American Mathematical Society}, Series = {{Mathematical Surveys and Monographs}}, Timestamp = {2007.01.02}, Title = {{The semicircle law, free random variables and entropy}}, Volume = {77}, Year = {2000}} @book{Hua1963, Address = {Providence, R.I.}, Author = {Hua, L. 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V. Tsilevich, With a foreword by A. Vershik and comments by G. Olshanski}, Pages = {xvi+201}, Publisher = {American Mathematical Society}, Series = {{Translations of Mathematical Monographs}}, Title = {{Asymptotic representation theory of the symmetric group and its applications in analysis}}, Volume = {219}, Year = {2003}} @book{LandoZvonkin2004, Address = {Berlin}, Author = {Lando, S. K. and Zvonkin, A. K.}, Date-Added = {2019-09-12 10:58:19 +0200}, Date-Modified = {2019-09-12 10:58:19 +0200}, XXIsbn = {3-540-00203-0}, Mrclass = {14H55 (05-02 05C10 05C30 05C50 14H10 14H30 32G15)}, Mrnumber = {2036721 (2005b:14068)}, Mrreviewer = {Athanase Papadopoulos}, XXNote = {With an appendix by Don B. Zagier}, Pages = {xvi+455}, Publisher = {Springer-Verlag}, Series = {{Encyclopaedia of Mathematical Sciences}}, Timestamp = {2007.01.03}, Title = {{Graphs on surfaces and their applications}}, Volume = {141}, Year = {2004}} @book{Lascoux2003, Author = {Lascoux, A.}, Date-Added = {2019-09-12 10:58:19 +0200}, Date-Modified = {2019-09-12 10:58:19 +0200}, Publisher = {Amer Mathematical Society}, Series = {{Cbms Regional Conference Series in Mathematics}}, Title = {{Symmetric functions and combinatorial operators on polynomials}}, Volume = {99}, Year = {2003}} @book{Macdonald1995, XXAddress = {New York}, Author = {Macdonald, I. G.}, Date-Added = {2019-09-12 10:58:19 +0200}, Date-Modified = {2019-09-12 10:58:19 +0200}, Edition = {Second edition}, XXIsbn = {0-19-853489-2}, Mrclass = {05E05 (05-02 20C30 20C33 20K01 33C80 33D80)}, Mrnumber = {1354144}, Mrreviewer = {John R. Stembridge}, XXNote = {With contributions by A. Zelevinsky, Oxford Science Publications}, Pages = {x+475}, XXPublisher = {The Clarendon Press Oxford University Press}, Publisher = {Oxford University Press}, Series = {{Oxford Mathematical Monographs}}, Timestamp = {2010.01.26}, Title = {{Symmetric functions and {H}all polynomials}}, Year = {1995}} @book{Meyer1993, Address = {Berlin}, Author = {Meyer, Paul-Andr{\'e}}, Date-Added = {2019-09-12 10:58:19 +0200}, Date-Modified = {2019-09-12 10:58:19 +0200}, Isbn = {3-540-56476-4}, Mrclass = {81S25 (46L50 46L55 46L60 46N50 60G48 81-02)}, Mrnumber = {MR1222649 (94k:81152)}, Mrreviewer = {David Applebaum}, Pages = {x+287}, Publisher = {Springer-Verlag}, Series = {{Lecture Notes in Mathematics}}, Timestamp = {2007.03.06}, Title = {{Quantum probability for probabilists}}, Volume = {1538}, Year = {1993}} @book{MoharThomassen2001, Author = {Mohar, Bojan and Thomassen, Carsten}, Date-Added = {2019-09-12 10:58:19 +0200}, Date-Modified = {2019-09-12 10:58:19 +0200}, Publisher = {Johns Hopkins University Press Baltimore}, Title = {{Graphs on surfaces}}, Volume = {2}, Year = {2001}} @book{Moortgat1988, Author = {Moortgat, Michael}, Date-Added = {2019-09-12 10:58:19 +0200}, Date-Modified = {2019-09-12 10:58:19 +0200}, Number = {9}, Publisher = {Walter de Gruyter}, Title = {{Categorial investigations: Logical and linguistic aspects of the Lambek calculus}}, Year = {1988}} @book{Muirhead1982, Address = {New York}, Author = {Muirhead, Robb J.}, Date-Added = {2019-09-12 10:58:19 +0200}, Date-Modified = {2019-09-12 10:58:19 +0200}, Isbn = {0-471-09442-0}, Mrclass = {62Hxx}, Mrnumber = {MR652932 (84c:62073)}, Mrreviewer = {Nariaki Sugiura}, Note = {Wiley Series in Probability and Mathematical Statistics}, Pages = {xix+673}, Publisher = {John Wiley \& Sons Inc.}, Timestamp = {2010.01.25}, Title = {{Aspects of multivariate statistical theory}}, Year = {1982}} @book{NicaSpeicherBook, Address = {Cambridge}, Author = {Nica, Alexandru and Speicher, Roland}, Date-Added = {2019-09-12 10:58:19 +0200}, Date-Modified = {2019-09-12 10:58:19 +0200}, Isbn = {978-0-521-85852-6; 0-521-85852-6}, Mrclass = {46L54 (46L53 60C05 81S25)}, Mrnumber = {2266879 (2008k:46198)}, Mrreviewer = {Todd Kemp}, Pages = {xvi+417}, Publisher = {Cambridge University Press}, Series = {{London Mathematical Society Lecture Note Series}}, Title = {{Lectures on the combinatorics of free probability}}, Volume = {335}, Year = {2006}, Bdsk-Url-1 = {https://dx.doi.org/10.1017/CBO9780511735127}} @book{SaganSymmetric, Address = {New York}, Author = {Sagan, Bruce E.}, Date-Added = {2019-09-12 10:58:19 +0200}, Date-Modified = {2019-09-12 10:58:19 +0200}, Edition = {Second}, Isbn = {0-387-95067-2}, Mrclass = {05E10 (05E05 20C30)}, Mrnumber = {MR1824028 (2001m:05261)}, Note = {Representations, combinatorial algorithms, and symmetric functions}, Pages = {xvi+238}, Publisher = {Springer-Verlag}, Series = {{Graduate Texts in Mathematics}}, Title = {{The symmetric group}}, Volume = {203}, Year = {2001}} @book{Serre77, Author = {Serre, Jean-Pierre}, Date-Added = {2019-09-12 10:58:19 +0200}, Date-Modified = {2019-09-12 10:58:19 +0200}, Number = {42}, Publisher = {Springer-Verlag}, Series = {{Graduate Texts in Mathematics}}, Title = {{Linear Representations of Finite Groups}}, Year = {1977}} @book{SerreReprezentacje, Address = {Warsaw}, Author = {Serre, Jean-Pierre}, Date-Added = {2019-09-12 10:58:19 +0200}, Date-Modified = {2019-09-12 10:58:19 +0200}, Isbn = {83-01-07908-8}, Mrclass = {20-01 (20C99)}, Mrnumber = {MR985106 (89k:20001)}, Note = {Translated from the French by Stanis{\l}aw Balcerzyk}, Pages = {220}, Publisher = {Pa{\'n}stwowe Wydawnictwo Naukowe (PWN)}, Title = {{Reprezentacje liniowe grup sko{\'n}czonych}}, Year = {1988}} @book{Takemura1984, Address = {Hayward, CA}, Author = {Takemura, Akimichi}, Date-Added = {2019-09-12 10:58:19 +0200}, Date-Modified = {2019-09-12 10:58:19 +0200}, Isbn = {0-940600-05-6}, Mrclass = {62H10 (33A70)}, Mrnumber = {MR744672 (86g:62076)}, Mrreviewer = {A. W. Davis}, Pages = {ii+104}, Publisher = {Institute of Mathematical Statistics}, Series = {{Institute of Mathematical Statistics Lecture Notes---Monograph Series, 4}}, Timestamp = {2010.01.25}, Title = {{Zonal polynomials}}, Year = {1984}} @book{VoiculescuDykemaNica1992, Address = {Providence, RI}, Author = {Voiculescu, D. V. and Dykema, K. 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Raggio}, Pages = {329--344}, Publisher = {Springer}, Series = {{Lecture Notes in Math.}}, Timestamp = {2006.12.27}, Title = {{Marches de {B}ernoulli quantiques}}, Volume = {1426}, Year = {1990}} @incollection{Biane1991a, Author = {Biane, P.}, Booktitle = {{Quantum probability \& related topics}}, Date-Added = {2019-09-12 10:58:19 +0200}, Date-Modified = {2019-09-12 10:58:19 +0200}, Mrclass = {81S25}, Mrnumber = {MR1149826 (93b:81127)}, Mrreviewer = {Kalyanapuram R. Parthasarathy}, Pages = {193--203}, Publisher = {World Sci. Publ., River Edge, NJ}, Series = {{QP-PQ, VI}}, Timestamp = {2006.12.27}, Title = {{Some properties of quantum {B}ernoulli random walks}}, Year = {1991}} @incollection{Biane1992, Author = {Biane, P.}, Booktitle = {{Quantum probability \& related topics}}, Date-Added = {2019-09-12 10:58:19 +0200}, Date-Modified = {2019-09-12 10:58:19 +0200}, Mrclass = {46L50 (22E30 60J10)}, Mrnumber = {MR1186654 (94c:46129)}, Mrreviewer = {Andrzej {\L}uczak}, Pages = {51--65}, Publisher = {World Sci. Publ., River Edge, NJ}, Series = {{QP-PQ, VII}}, Timestamp = {2006.12.27}, Title = {{Minuscule weights and random walks on lattices}}, Year = {1992}} @incollection{Biane2001a, Author = {Biane, P.}, Booktitle = {{XIIIth International Congress on Mathematical Physics (London, 2000)}}, Date-Added = {2019-09-12 10:58:19 +0200}, Date-Modified = {2019-09-12 10:58:19 +0200}, Mrclass = {20C30 (05E10 46L54)}, Mrnumber = {MR1883322 (2002k:20020)}, Pages = {321--326}, Publisher = {Int. Press, Boston, MA}, Timestamp = {2006.12.27}, Title = {{Free cumulants and representations of large symmetric groups}}, Year = {2001}} @incollection{Biane2003, Address = {Berlin}, Author = {Biane, P.}, Booktitle = {{Asymptotic combinatorics with applications to mathematical physics (St. Petersburg, 2001)}}, Date-Added = {2019-09-12 10:58:19 +0200}, Date-Modified = {2019-09-12 10:58:19 +0200}, Mrclass = {20C30 (05E10 46L54)}, Mrnumber = {MR2009840 (2004j:20016)}, Mrreviewer = {Burkhard K{\"u}lshammer}, Pages = {185--200}, Publisher = {Springer}, Series = {{Lecture Notes in Math.}}, Timestamp = {2006.12.27}, Title = {{Characters of symmetric groups and free cumulants}}, Volume = {1815}, Year = {2003}} @incollection{Biane2003a, Author = {Biane, P.}, Booktitle = {{Quantum probability communications, Vol. XI (Grenoble, 1998)}}, Date-Added = {2019-09-12 10:58:19 +0200}, Date-Modified = {2019-09-12 10:58:19 +0200}, Mrclass = {46L54 (46N55 60A05 81S25)}, Mrnumber = {MR2032363 (2004k:46112)}, Pages = {55--71}, Publisher = {World Sci. Publ., River Edge, NJ}, Series = {{QP-PQ, XI}}, Timestamp = {2006.12.27}, Title = {{Free probability for probabilists}}, Year = {2003}} @incollection{Brown1986, Address = {Harlow}, Author = {Brown, L. G.}, Booktitle = {{Geometric methods in operator algebras (Kyoto, 1983)}}, Date-Added = {2019-09-12 10:58:19 +0200}, Date-Modified = {2019-09-12 10:58:19 +0200}, Mrclass = {47B10 (46L10)}, Mrnumber = {MR866489 (88d:47024)}, Mrreviewer = {Thierry Fack}, Pages = {1--35}, Publisher = {Longman Sci. Tech.}, Series = {{Pitman Res. Notes Math. Ser.}}, Timestamp = {2007.01.02}, Title = {{Lidski\u\i's theorem in the type {${\rm II}$} case}}, Volume = {123}, Year = {1986}} @incollection{DolegaSniady2011, Author = {Do{\l}{\k{e}}ga, M. and {\'S}niady, P.}, Booktitle = {{23rd {I}nternational {C}onference on {F}ormal {P}ower {S}eries and {A}lgebraic {C}ombinatorics ({FPSAC} 2011)}}, Date-Added = {2019-09-12 10:58:19 +0200}, Date-Modified = {2019-09-12 10:58:19 +0200}, Mrclass = {05E05 (05C30 05E10)}, Mrnumber = {2820715}, Pages = {257--268}, Publisher = {Assoc. Discrete Math. Theor. Comput. Sci., Nancy}, Series = {{Discrete Math. Theor. Comput. Sci. Proc., AO}}, Timestamp = {2012.05.30}, Title = {{Polynomial functions on {Y}oung diagrams arising from bipartite graphs}}, Year = {2011}} @incollection{FeraySniady2011d, Author = {F{\'e}ray, V. and {\'S}niady, P.}, Booktitle = {{23rd {I}nternational {C}onference on {F}ormal {P}ower {S}eries and {A}lgebraic {C}ombinatorics ({FPSAC} 2011)}}, Date-Added = {2019-09-12 10:58:19 +0200}, Date-Modified = {2019-09-12 10:58:19 +0200}, Mrclass = {05E05 (33C52)}, Mrnumber = {2820720}, Pages = {317--328}, Publisher = {Assoc. Discrete Math. Theor. Comput. Sci., Nancy}, Series = {{Discrete Math. Theor. Comput. Sci. Proc., AO}}, Timestamp = {2012.05.30}, Title = {{Dual combinatorics of zonal polynomials}}, Year = {2011}} @incollection{GarsiaRemmel1998, Author = {Garsia, A. and Remmel, J.}, Booktitle = {Mathematical Essays in honor of Gian-Carlo Rota}, Date-Added = {2019-09-12 10:58:19 +0200}, Date-Modified = {2019-09-12 10:58:19 +0200}, Pages = {245--262}, Publisher = {Springer}, Title = {Plethystic formulas and positivity for q, t-{K}ostka coefficients}, Year = {1998}} @incollection{Gessel1984, Author = {Gessel, I. M.}, Booktitle = {Combinatorics and algebra ({B}oulder, {C}olo., 1983)}, Date-Added = {2019-09-12 10:58:19 +0200}, Date-Modified = {2019-09-12 10:58:19 +0200}, Mrclass = {05A17 (20C30)}, Mrnumber = {777705}, Mrreviewer = {J. D\~A\copyright{}sarm\~A\copyright{}nien}, Pages = {289--317}, Publisher = {Amer. Math. Soc., Providence, RI}, Series = {Contemp. Math.}, Title = {Multipartite {$P$}-partitions and inner products of skew {S}chur functions}, Volume = {34}, Year = {1984}, Bdsk-Url-1 = {https://dx.doi.org/10.1090/conm/034/777705}} @incollection{Haiman1999, Author = {Haiman, M.}, Booktitle = {New perspectives in algebraic combinatorics ({B}erkeley, {CA}, 1996--97)}, Date-Added = {2019-09-12 10:58:19 +0200}, Date-Modified = {2019-09-12 10:58:19 +0200}, Mrclass = {05E05 (14C05)}, Mrnumber = {1731818}, Pages = {207--254}, Publisher = {Cambridge Univ. Press, Cambridge}, Series = {Math. Sci. Res. Inst. Publ.}, Title = {Macdonald polynomials and geometry}, Volume = {38}, Year = {1999}} @incollection{Haiman2002, Author = {Haiman, M.}, Booktitle = {Symmetric functions 2001: surveys of developments and perspectives}, Date-Added = {2019-09-12 10:58:19 +0200}, Date-Modified = {2019-09-12 10:58:19 +0200}, Mrclass = {14C05 (05E05)}, Mrnumber = {2059359}, Mrreviewer = {Raquel Mallavibarrena}, Pages = {1--64}, Publisher = {Kluwer Acad. Publ., Dordrecht}, Series = {NATO Sci. Ser. II Math. Phys. Chem.}, Title = {Notes on {M}acdonald polynomials and the geometry of {H}ilbert schemes}, Volume = {74}, Year = {2002}, Bdsk-Url-1 = {https://dx.doi.org/10.1007/978-94-010-0524-1_1}} @incollection{Hora2002, Address = {River Edge, NJ}, Author = {Hora, Akihito}, Booktitle = {{Non-commutativity, infinite-dimensionality and probability at the crossroads}}, Date-Added = {2019-09-12 10:58:19 +0200}, Date-Modified = {2019-09-12 10:58:19 +0200}, Mrclass = {81S25 (43Axx 60F05)}, Mrnumber = {MR2059867}, Pages = {318--328}, Publisher = {World Sci. Publishing}, Series = {{QP--PQ: Quantum Probab. White Noise Anal.}}, Timestamp = {2008.04.25}, Title = {{Noncommutative aspect of central limit theorem for the irreducible characters of the symmetric groups}}, Volume = {16}, Year = {2002}} @incollection{Hora2003, Address = {Berlin}, Author = {Hora, Akihito}, Booktitle = {{Asymptotic combinatorics with applications to mathematical physics (St. Petersburg, 2001)}}, Date-Added = {2019-09-12 10:58:19 +0200}, Date-Modified = {2019-09-12 10:58:19 +0200}, Mrclass = {60F05 (05E10 20C35)}, Mrnumber = {MR2009836 (2004k:60056)}, Mrreviewer = {Martin V. Hildebrand}, Pages = {77--88}, Publisher = {Springer}, Series = {{Lecture Notes in Math.}}, Timestamp = {2008.04.25}, Title = {{A noncommutative version of {K}erov's {G}aussian limit for the {P}lancherel measure of the symmetric group}}, Volume = {1815}, Year = {2003}} @incollection{Hora2006, Author = {Hora, Akihito}, Booktitle = {{Quantum probability}}, Date-Added = {2019-09-12 10:58:19 +0200}, Date-Modified = {2019-09-12 10:58:19 +0200}, Mrclass = {20P05 (05E10 20C30)}, Mrnumber = {MR2423129 (2009h:20081)}, Mrreviewer = {M. R. Pournaki}, Pages = {223--235}, Publisher = {Polish Acad. Sci. Inst. Math., Warsaw}, Series = {{Banach Center Publ.}}, Title = {{Jucys-{M}urphy element and walks on modified {Y}oung graph}}, Volume = {73}, Year = {2006}} @incollection{IvanovOlshanski2002, Address = {Dordrecht}, Author = {Ivanov, Vladimir and Olshanski, Grigori}, Booktitle = {{Symmetric functions 2001: surveys of developments and perspectives}}, Date-Added = {2019-09-12 10:58:19 +0200}, Date-Modified = {2019-09-12 10:58:19 +0200}, Mrclass = {05E05 (05E10 20C30 60B10 60B15 60F05 60G57)}, Mrnumber = {MR2059361 (2005d:05148)}, Mrreviewer = {Martin V. Hildebrand}, Pages = {93--151}, Publisher = {Kluwer Acad. Publ.}, Series = {{NATO Sci. Ser. II Math. Phys. Chem.}}, Timestamp = {2008.08.07}, Title = {{Kerov's central limit theorem for the {P}lancherel measure on {Y}oung diagrams}}, Volume = {74}, Year = {2002}} @incollection{Kerov1996boundaryYounglattice, Author = {Kerov, S.}, Booktitle = {Formal power series and algebraic combinatorics ({N}ew {B}runswick, {NJ}, 1994)}, Date-Added = {2019-09-12 10:58:19 +0200}, Date-Modified = {2019-09-12 10:58:19 +0200}, Mrclass = {05E10 (31C20 43A90 60C05)}, Mrnumber = {1363510}, Pages = {133--158}, Publisher = {Amer. Math. Soc., Providence, RI}, Series = {DIMACS Ser. Discrete Math. Theoret. Comput. Sci.}, Title = {The boundary of {Y}oung lattice and random {Y}oung tableaux}, Volume = {24}, Year = {1996}} @incollection{Kerov1998, Address = {Providence, RI}, Author = {Kerov, Sergei}, Booktitle = {{Kirillov's seminar on representation theory}}, Date-Added = {2019-09-12 10:58:19 +0200}, Date-Modified = {2019-09-12 10:58:19 +0200}, Mrclass = {30E05 (60G57)}, Mrnumber = {MR1618739 (99h:30034)}, Mrreviewer = {Tord H. Ganelius}, Pages = {35--83}, Publisher = {Amer. Math. Soc.}, Series = {{Amer. Math. Soc. Transl. Ser. 2}}, Title = {{Interlacing measures}}, Volume = {181}, Year = {1998}} @incollection{KreftlWalcher2016, Author = {Krefl, D. and Walcher, J.}, Booktitle = {New dualities of sypersymmetric gauge theories}, Date-Added = {2019-09-12 10:58:19 +0200}, Date-Modified = {2019-09-12 10:58:19 +0200}, Mrclass = {81T60 (81T13)}, Mrnumber = {3467300}, Pages = {449--467}, Publisher = {Springer, Cham}, Series = {Math. Phys. Stud.}, Title = {B-model approach to instanton counting}, Year = {2016}, Bdsk-Url-1 = {http://mathscinet.ams.org/mathscinet-getitem?mr=3467300}} @incollection{Macdonald1987, Author = {Macdonald, I. G.}, Booktitle = {{Algebraic groups {U}trecht 1986}}, Date-Added = {2019-09-12 10:58:19 +0200}, Date-Modified = {2019-09-12 10:58:19 +0200}, Mrclass = {43A90 (22E30 33A65)}, Mrnumber = {911140 (89e:43025)}, Mrreviewer = {Jacques Faraut}, Pages = {189--200}, Publisher = {Springer, Berlin}, Series = {{Lecture Notes in Math.}}, Title = {{Commuting differential operators and zonal spherical functions}}, Volume = {1271}, Year = {1987}, Bdsk-Url-1 = {https://dx.doi.org/10.1007/BFb0079238}} @incollection{NicaSpeicher1997, Address = {Providence, RI}, Author = {Nica, Alexandru and Speicher, Roland}, Booktitle = {{Free probability theory (Waterloo, ON, 1995)}}, Date-Added = {2019-09-12 10:58:19 +0200}, Date-Modified = {2019-09-12 10:58:19 +0200}, Mrclass = {46L50}, Mrnumber = {MR1426839 (98b:46083)}, Mrreviewer = {D. Petz}, Pages = {149--188}, Publisher = {Amer. Math. Soc.}, Series = {{Fields Inst. Commun.}}, Timestamp = {2007.01.02}, Title = {{{$R$}-diagonal pairs---a common approach to {H}aar unitaries and circular elements}}, Volume = {12}, Year = {1997}} @incollection{OkounkovOlshanski1998, Address = {Providence, RI}, Author = {Okounkov, Andrei and Olshanski, Grigori}, Booktitle = {{Kirillov's seminar on representation theory}}, Date-Added = {2019-09-12 10:58:19 +0200}, Date-Modified = {2019-09-12 10:58:19 +0200}, Mrclass = {17B35 (05E05 20G05)}, Mrnumber = {MR1618763 (99k:17023)}, Mrreviewer = {Witold Kra{\'s}kiewicz}, Pages = {245--271}, Publisher = {Amer. Math. Soc.}, Series = {{Amer. Math. Soc. Transl. Ser. 2}}, Timestamp = {2010.01.26}, Title = {{Shifted {S}chur functions. {II}. {T}he binomial formula for characters of classical groups and its applications}}, Volume = {181}, Year = {1998}} @incollection{Schaeffer2015, Author = {Schaeffer, Gilles}, Booktitle = {Handbook of enumerative combinatorics}, Date-Added = {2019-09-12 10:58:19 +0200}, Date-Modified = {2019-09-12 10:58:19 +0200}, Mrclass = {05C10 (05A16 05C30)}, Mrnumber = {3409346}, Pages = {335--395}, Publisher = {CRC Press, Boca Raton, FL}, Series = {Discrete Math. Appl. (Boca Raton)}, Title = {Planar maps}, Year = {2015}} @incollection{ShareshianWachs2012, Author = {Shareshian, J. and Wachs, M. L.}, Booktitle = {Configuration spaces}, Date-Added = {2019-09-12 10:58:19 +0200}, Date-Modified = {2019-09-12 10:58:19 +0200}, Mrclass = {05E05 (14M25)}, Mrnumber = {3203651}, Pages = {433--460}, Publisher = {Ed. Norm., Pisa}, Series = {CRM Series}, Title = {Chromatic quasisymmetric functions and {H}essenberg varieties}, Volume = {14}, Year = {2012}, Bdsk-Url-1 = {http://mathscinet.ams.org/mathscinet-getitem?mr=3203651}} @incollection{Sniady2006, Address = {Warsaw}, Author = {{\'S}niady, P.}, Booktitle = {{Quantum Probability}}, Date-Added = {2019-09-12 10:58:19 +0200}, Date-Modified = {2019-09-12 10:58:19 +0200}, Editor = {Bo{\.z}ejko, Marek and M{{\l}}otkowski, Wojciech and Wysocza{\'n}ski, Janusz}, Pages = {409--414}, Publisher = {Polish Acad. Sci.}, Series = {{Banach Center Publ.}}, Title = {{Limit distributions of many-particle spectra}}, Volume = {73}, Year = {2006}} @incollection{Speicher1993, Author = {Speicher, Roland}, Booktitle = {{Quantum probability \& related topics}}, Date-Added = {2019-09-12 10:58:19 +0200}, Date-Modified = {2019-09-12 10:58:19 +0200}, Mrclass = {05A18 (46L99 81S25)}, Mrnumber = {MR1258339 (95b:05017)}, Mrreviewer = {Paul Jolissaint}, Pages = {347--352}, Publisher = {World Sci. Publ., River Edge, NJ}, Series = {{QP-PQ, VIII}}, Timestamp = {2007.01.02}, Title = {{The lattice of admissible partitions}}, Year = {1993}} @incollection{Voiculescu1997, Address = {Providence, RI}, Author = {Voiculescu, Dan}, Booktitle = {{Free probability theory (Waterloo, ON, 1995)}}, Date-Added = {2019-09-12 10:58:19 +0200}, Date-Modified = {2019-09-12 10:58:19 +0200}, Mrclass = {46L50 (94A17)}, Mrnumber = {MR1426847 (97j:46071)}, Mrreviewer = {Sh. A. Ayupov}, Pages = {293--302}, Publisher = {Amer. Math. Soc.}, Series = {{Fields Inst. Commun.}}, Timestamp = {2007.01.02}, Title = {{The analogues of entropy and of {F}isher's information measure in free probability theory. {IV}. {M}aximum entropy and freeness}}, Volume = {12}, Year = {1997}} @incollection{Voiculescu1997a, Author = {Voiculescu, Dan}, Booktitle = {{Operator algebras and quantum field theory (Rome, 1996)}}, Date-Added = {2019-09-12 10:58:19 +0200}, Date-Modified = {2019-09-12 10:58:19 +0200}, Mrclass = {46L50 (46L10 81S25)}, Mrnumber = {MR1491134 (98m:46082)}, Pages = {458--462}, Publisher = {Int. Press, Cambridge, MA}, Timestamp = {2007.01.02}, Title = {{Topics in free entropy}}, Year = {1997}} @incollection{Voiculescu1998b, Address = {Warsaw}, Author = {Voiculescu, Dan}, Booktitle = {{Quantum probability (Gda{\'n}sk, 1997)}}, Date-Added = {2019-09-12 10:58:19 +0200}, Date-Modified = {2019-09-12 10:58:19 +0200}, Mrclass = {46L50}, Mrnumber = {MR1649743}, Pages = {421--427}, Publisher = {Polish Acad. Sci.}, Series = {{Banach Center Publ.}}, Timestamp = {2007.01.02}, Title = {{The noncommutative {H}ilbert transform approach to free entropy}}, Volume = {43}, Year = {1998}} @incollection{Voiculescu2000a, Address = {Berlin}, Author = {Voiculescu, Dan}, Booktitle = {{Lectures on probability theory and statistics (Saint-Flour, 1998)}}, Date-Added = {2019-09-12 10:58:19 +0200}, Date-Modified = {2019-09-12 10:58:19 +0200}, Mrclass = {46Lxx (46L54 46N30 46N50 81S25)}, Mrnumber = {MR1775641 (2001g:46121)}, Mrreviewer = {Vittorino Pata}, Pages = {279--349}, Publisher = {Springer}, Series = {{Lecture Notes in Math.}}, Timestamp = {2007.01.02}, Title = {{Lectures on free probability theory}}, Volume = {1738}, Year = {2000}} @incollection{Voiculescu2005a, Author = {Voiculescu, Dan}, Booktitle = {{XIVth International Congress on Mathematical Physics}}, Date-Added = {2019-09-12 10:58:19 +0200}, Date-Modified = {2019-09-12 10:58:19 +0200}, Mrclass = {46L54}, Mrnumber = {MR2227827}, Mrreviewer = {Todd Kemp}, Pages = {145--157}, Publisher = {World Sci. Publ., Hackensack, NJ}, Timestamp = {2007.01.02}, Title = {{Aspects of free probability}}, Year = {2005}} @inproceedings{Biane2002, Address = {Beijing}, Author = {Biane, P.}, Booktitle = {{Proceedings of the International Congress of Mathematicians, Vol. II (Beijing, 2002)}}, Date-Added = {2019-09-12 10:58:19 +0200}, Date-Modified = {2019-09-12 10:58:19 +0200}, Mrclass = {46L54 (05E10 60B15)}, Mrnumber = {MR1957083 (2003k:46098)}, Mrreviewer = {Dimitri Y. Shlyakhtenko}, Pages = {765--774}, Publisher = {Higher Ed. Press}, Timestamp = {2006.12.27}, Title = {{Free probability and combinatorics}}, Year = {2002}} @inproceedings{Haagerup2002, Address = {Beijing}, Author = {Haagerup, U.}, Booktitle = {{Proceedings of the International Congress of Mathematicians, Vol. I (Beijing, 2002)}}, Date-Added = {2019-09-12 10:58:19 +0200}, Date-Modified = {2019-09-12 10:58:19 +0200}, Mrclass = {46-02 (46L10 46L54 46N30 47A15 60B99 81S25)}, Mrnumber = {MR1989189 (2004e:46002)}, Pages = {273--290}, Publisher = {Higher Ed. Press}, Timestamp = {2007.01.02}, Title = {{Random matrices, free probability and the invariant subspace problem relative to a von {N}eumann algebra}}, Year = {2002}} @inproceedings{Kerov1999, Address = {Providence, RI}, Author = {Kerov, Sergei}, Booktitle = {{Proceedings of the St. Petersburg Mathematical Society, Vol. IV}}, Date-Added = {2019-09-12 10:58:19 +0200}, Date-Modified = {2019-09-12 10:58:19 +0200}, Mrclass = {05E10 (20P05)}, Mrnumber = {MR1732430 (2001h:05104)}, Pages = {111--130}, Publisher = {Amer. Math. Soc.}, Series = {{Amer. Math. Soc. Transl. Ser. 2}}, Timestamp = {2006.12.26}, Title = {{A differential model for the growth of {Y}oung diagrams}}, Volume = {188}, Year = {1999}} @inproceedings{Okounkov2003, Author = {Okounkov, A.}, Booktitle = {{Fourteenth International Congress on Mathematical Physics}}, Date-Added = {2019-09-12 10:58:19 +0200}, Date-Modified = {2019-09-12 10:58:19 +0200}, Pages = {379--403}, Publisher = {Word Scientists}, Title = {{The uses of random partitions}}, Year = {2003}} @inproceedings{Vershik1995, Author = {Vershik, A. M.}, Booktitle = {Proceedings of the {I}nternational {C}ongress of {M}athematicians, {V}ol.\ 1, 2 ({Z}\"urich, 1994)}, Date-Added = {2019-09-12 10:58:19 +0200}, Date-Modified = {2019-09-12 10:58:19 +0200}, Mrclass = {60B15 (05A16 05E15 41A60 60C05)}, Mrnumber = {1404040}, Mrreviewer = {Alexander I. Barvinok}, Pages = {1384--1394}, Publisher = {Birkh\"auser, Basel}, Title = {Asymptotic combinatorics and algebraic analysis}, Year = {1995}} @inproceedings{Voiculescu1995, Address = {Basel}, Author = {Voiculescu, Dan}, Booktitle = {{Proceedings of the International Congress of Mathematicians, Vol.\ 1, 2 (Z{\"u}rich, 1994)}}, Date-Added = {2019-09-12 10:58:19 +0200}, Date-Modified = {2019-09-12 10:58:19 +0200}, Mrclass = {46L50 (81S25)}, Mrnumber = {MR1403924 (97f:46102)}, Pages = {227--241}, Publisher = {Birkh{\"a}user}, Timestamp = {2007.01.02}, Title = {{Free probability theory: random matrices and von {N}eumann algebras}}, Year = {1995}} @mastersthesis{Dolega-magister, Address = {http://www.math.uni.wroc.pl/~dolega/papers/magister.pdf}, Author = {Do{\l}{\k{e}}ga, M.}, Date-Added = {2019-09-12 10:58:19 +0200}, Date-Modified = {2019-09-12 10:58:19 +0200}, School = {Uniwersytet Wroc{\l}awski}, Title = {{Struktura wielomian{\'o}w {K}erova}}, Year = {2010}} @misc{LassalleData, Author = {Lassalle, M.}, Date-Added = {2019-09-12 10:58:19 +0200}, Date-Modified = {2019-09-12 10:58:19 +0200}, Howpublished = {\url{http://igm.univ-mlv.fr/~lassalle/free.html}}, Note = {Accessed: 1/12/2012}, Title = {{Jack polynomials and free cumulants}}} @phdthesis{Chapuy:PhD, Abstract = {{Cette th{\`e}se est une contribution {\`a} l'{\'e}tude {\'e}num{\'e}rative et statistique d'objets combinatoires appel{\'e}s cartes. Une carte est une surface discr{\`e}te form{\'e}e par le recollement d'un nombre fini de polygones, ou de mani{\`e}re {\'e}quivalente un graphe qui a {\'e}t{\'e} plong{\'e} sans croisements d'ar{\^e}tes dans une surface orientable. Si de nombreux travaux concernent la combinatoire des cartes planaires, nous nous int{\'e}ressons ici aux cartes de genre g>0, c'est-{\`a}-dire dont la surface sous-jacente poss{\`e}de g anses ind{\'e}pendantes. Nous donnons des bijections nouvelles reliant les cartes de genre fix{\'e} {\`a} des objets de nature arborescente. Nous en d{\'e}duisons des r{\'e}sultats {\'e}num{\'e}ratifs (formules et identit{\'e}s combinatoires, formules d'{\'e}num{\'e}ration asymptotique), des r{\'e}sultats probabilistes concernant la limite continue de ces objets (caract{\'e}risation du profil m{\'e}trique limite d'une grande carte de genre g), et de g{\'e}n{\'e}ration al{\'e}atoire (algorithmes efficaces pour engendrer ces objets).}}, Author = {Chapuy, G.}, Date-Added = {2019-09-12 10:58:19 +0200}, Date-Modified = {2019-09-12 10:58:19 +0200}, Hal_Id = {pastel-00005289}, Month = jun, Pdf = {http://pastel.archives-ouvertes.fr/pastel-00005289/PDF/these-chapuy.pdf}, School = {Ecole Polytechnique X}, Title = {{Combinatoire bijective des cartes de genre sup{\'e}rieur}}, Type = {THESE}, Year = {2009}, Bdsk-Url-1 = {http://pastel.archives-ouvertes.fr/pastel-00005289}} @phdthesis{LaCroix2009, Author = {{La{ C}roix}, M. A.}, Date-Added = {2019-09-12 10:58:19 +0200}, Date-Modified = {2019-09-12 10:58:19 +0200}, School = {University of Waterloo}, Timestamp = {2012.05.30}, Title = {{The combinatorics of the {J}ack parameter and the genus series for topological maps}}, Year = {2009}} @phdthesis{Schaeffer:phd, Author = {Schaeffer, Gilles}, Date-Added = {2019-09-12 10:58:19 +0200}, Date-Modified = {2019-09-12 10:58:19 +0200}, School = {Universit{\'e} Bordeaux I}, Title = {{Conjugaison d'arbres et cartes combinatoires al{\'e}atoires}}, Type = {Th{\`e}se de doctorat}, Year = 1999} @phdthesis{Wassermann1981, Author = {Wassermann, Anthony John}, Date-Added = {2019-09-12 10:58:19 +0200}, Date-Modified = {2019-09-12 10:58:19 +0200}, School = {University of Pennsylvania}, Timestamp = {2009.02.23}, Title = {{Automorphic actions of compact groups on operator algebras}}, Year = {1981}} @proceedings{DolegaFeray2013, Author = {Do{\l}{\k{e}}ga, M. and F{\'e}ray, V.}, Date-Added = {2019-09-12 10:58:19 +0200}, Date-Modified = {2019-09-12 10:58:19 +0200}, Pages = {539--550}, Publisher = {Discrete Math. Theor. Comput. Sci. Proc., AS}, Title = {{On {K}erov polynomials for {J}ack characters.}}, Year = {2013}} @proceedings{DolegaFeraySniady2009, Author = {Do{\l}{\k{e}}ga, M. and F{\'e}ray, V. and {\'S}niady, P.}, Date-Added = {2019-09-12 10:58:19 +0200}, Date-Modified = {2019-09-12 10:58:19 +0200}, Location = {Hagenberg, Austria}, Organization = {FPSAC}, Pages = {337--348}, Publisher = {DMTCS}, Title = {{Characters of symmetric groups in terms of free cumulants and {F}robenius coordinates}}, Year = {2009}} @unpublished{Assaf2010, Author = {Assaf, S. H.}, Date-Added = {2019-09-12 10:58:19 +0200}, Date-Modified = {2019-09-12 10:58:19 +0200}, Note = {Preprint arXiv:1005.3759}, Title = {Dual equivalence graphs and a combinatorial proof of {LLT} and {M}acdonald positivity}, Year = {2010}} @unpublished{Assaf2017, Author = {Assaf, S. H.}, Date-Added = {2019-09-12 10:58:19 +0200}, Date-Modified = {2019-09-12 10:58:19 +0200}, Note = {Preprint arXiv:1703.07457}, Title = {Toward the {S}chur expansion of {M}acdonald polynomials}, Year = {2017}} @unpublished{BettinelliChapuyDolega2015, Author = {Bettinelli, J. and Chapuy, G. and Do{\l}{\k{e}}ga, M.}, Date-Added = {2019-09-12 10:58:19 +0200}, Date-Modified = {2019-09-12 10:58:19 +0200}, Note = {In preparation}, Title = {{Non-orientable Brownian surface}}} @unpublished{BettinelliLemma2014, Author = {Bettinelli, J.}, Date-Added = {2019-09-12 10:58:19 +0200}, Date-Modified = {2019-09-12 10:58:19 +0200}, Note = {Private communication}, Year = {2014}} @unpublished{BufetovGorin2016, Author = {Bufetov, A. and Gorin, V.}, Date-Added = {2019-09-12 10:58:19 +0200}, Date-Modified = {2019-09-12 10:58:19 +0200}, Note = {Preprint arXiv:1604.01110 to appear in Adv. Math.}, Title = {Fluctuations of particle systems determined by {S}chur generating functions}, Year = {2016}} @unpublished{CJankowska2011, Author = {Czy\.zewska-Jankowska, A.}, Date-Added = {2019-09-12 10:58:19 +0200}, Date-Modified = {2019-09-12 10:58:19 +0200}, Note = {Preprint arXiv:1108.3173v1}, Title = {{Topological expansion of the coefficients of zonal polynomials in genus one}}, Year = {2011}} @unpublished{Dolega2016b, Author = {Do{\l}{\k{e}}ga, M.}, Date-Added = {2019-09-12 10:58:19 +0200}, Date-Modified = {2019-09-12 10:58:19 +0200}, Note = {In preparation}, Title = {{On some specializations in {M}acdonald's positivity conjecture for cumulants}}} @unpublished{Gal, Author = {Gal, {\'S}wiatos{\l}aw}, Date-Added = {2019-09-12 10:58:19 +0200}, Date-Modified = {2019-09-12 10:58:19 +0200}, Note = {Private communication}, Timestamp = {2009.10.15}, Year = {2008}} @unpublished{GrojnowskiHaiman2007, Author = {Grojnowski, I. and Haiman, M.}, Date-Added = {2019-09-12 10:58:19 +0200}, Date-Modified = {2019-09-12 10:58:19 +0200}, Note = {Preprint}, Title = {{Affine {H}ecke algebras and positivity of {LLT} and {M}acdonald polynomials}}, Year = {2007}} @unpublished{JezSniady2007, Author = {Je{\.z}, Artur and {\'S}niady, P.}, Date-Added = {2019-09-12 10:58:19 +0200}, Date-Modified = {2019-09-12 10:58:19 +0200}, Note = {Preprint arXiv:0708.3441}, Timestamp = {2010.05.20}, Title = {{Generalized {C}auchy identities, trees and multidimensional {B}rownian motions. {P}art {II}: {C}ombinatorial differential calculus}}, Year = {2007}} @unpublished{Kerov2000talk, Author = {Kerov, Sergei}, Date-Added = {2019-09-12 10:58:19 +0200}, Date-Modified = {2019-09-12 10:58:19 +0200}, Month = {January}, Note = {Talk in Institute Henri Poincar{\'e}, Paris}, Timestamp = {2008.08.06}, Year = {2000}} @unpublished{LaCroix2013, Author = {{La Croix}, Michael Andrew}, Date-Added = {2019-09-12 10:58:19 +0200}, Date-Modified = {2019-09-12 10:58:19 +0200}, Note = {Private communication}, Timestamp = {2013.02.28}, Year = {2013}} @unpublished{LaCroixPrivate, Author = {{La{ C}roix}, M. A.}, Date-Added = {2019-09-12 10:58:19 +0200}, Date-Modified = {2019-09-12 10:58:19 +0200}, Note = {Private communication}, Year = {2015}} @unpublished{Mellit2016, Abstract = {The Dyck path algebra construction of Carlsson and Mellit from}, Author = {Mellit, A.}, Date-Added = {2019-09-12 10:58:19 +0200}, Date-Modified = {2019-09-12 10:58:19 +0200}, Note = {arXiv:1604.07456}, Title = {Toric braids and $(m, n)$-parking functions}, Year = {2016}, Bdsk-Url-1 = {https://arxiv.org/abs/1604.07456}} @unpublished{Moll2015, Author = {Alexander Moll}, Date-Added = {2019-09-12 10:58:19 +0200}, Date-Modified = {2019-09-12 10:58:19 +0200}, Note = {Preprint arXiv:1508.03063}, Title = {Random partitions and the quantum {B}enjamin--{O}no hierarchy}, Year = {2015}} @unpublished{MooreRussell-preprint2006, Author = {Moore, Cristopher and Russell, Alexander}, Date-Added = {2019-09-12 10:58:19 +0200}, Date-Modified = {2019-09-12 10:58:19 +0200}, Eprint = {arXiv:quant-ph/0609138}, Note = {Preprint quant-ph/0609138}, Timestamp = {2006.12.27}, Title = {{On the impossibility of a quantum sieve algorithm for graph isomorphism}}, Year = {2006}} @unpublished{Rattan-preprint2006, Author = {Rattan, Amarpreet}, Date-Added = {2019-09-12 10:58:19 +0200}, Date-Modified = {2019-09-12 10:58:19 +0200}, Eprint = {arXiv:math.RT/0601186}, Note = {Preprint math.RT/0601186}, Timestamp = {2006.12.26}, Title = {{Positivity results for Stanley's character polynomials}}, Year = {2006}} @unpublished{Sniady2013, Author = {{\'S}niady, P. and et al.}, Date-Added = {2019-09-12 10:58:19 +0200}, Date-Modified = {2019-09-12 10:58:19 +0200}, Note = {In preparation}, Timestamp = {2013.01.24}, Title = {{Jack polynomials and the measure of non-orientability of maps. {P}art 3. {P}olynomial functions on the set of {Y}oung diagrams}}, Year = {2013}} @unpublished{Sniady2015, Author = {{\'S}niady, P.}, Date-Added = {2019-09-12 10:58:19 +0200}, Date-Modified = {2019-09-12 10:58:19 +0200}, Note = {Preprint arXiv:1506.06361}, Title = {{Top degree of {J}ack characters and enumeration of maps}}, Year = {2015}} @unpublished{Sniady2016, Author = {{\'S}niady, P.}, Date-Added = {2019-09-12 10:58:19 +0200}, Date-Modified = {2019-09-12 10:58:19 +0200}, Note = {Preprint arXiv:1603.04268}, Title = {Structure coefficients for {J}ack characters: approximate factorization property}, Year = {2016}} @unpublished{SniadyPrivate, Author = {{\'S}niady, P.}, Date-Added = {2019-09-12 10:58:19 +0200}, Date-Modified = {2019-09-12 10:58:19 +0200}, Note = {Private communication}, Year = {2015}} @unpublished{Stanley-preprint2006, Author = {Stanley, R. P.}, Date-Added = {2019-09-12 10:58:19 +0200}, Date-Modified = {2019-09-12 10:58:19 +0200}, Eprint = {arXiv:math.CO/0606467}, Note = {Preprint arXiv:math.CO/0606467}, Timestamp = {2006.12.26}, Title = {{A conjectured combinatorial interpretation of the normalized irreducible character values of the symmetric group}}, Year = {2006}} @unpublished{Stanley2002, Author = {Stanley, R. 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