%% This BibTeX bibliography file was created using BibDesk. %% http://bibdesk.sourceforge.net/ %% Created for Nicholas Beaton at 2019-04-18 15:59:24 +1000 %% Saved with string encoding Unicode (UTF-8) @article{BFZ, Author = {Berenstein, A. and Fomin, S. and Zelevinsky, A.}, Doi = {10.1006/aima.1996.0057}, Fjournal = {Advances in Mathematics}, Journal = {Adv. Math.}, Mrclass = {17B37 (05E15 20G05)}, Mrnumber = {1405449}, Mrreviewer = {Kailash C. Misra}, Number = {1}, Pages = {49--149}, Title = {Parametrizations of canonical bases and totally positive matrices}, Volume = {122}, Year = {1996}, Bdsk-Url-1 = {https://doi.org/10.1006/aima.1996.0057}} @book{Ker, Author = {Kerov, S. V.}, Date-Modified = {2019-04-18 15:58:54 +1000}, Mrclass = {20C30 (05E05 05E10 20C32 20P05 60C05)}, Mrnumber = {1984868}, Mrreviewer = {Akihito Hora}, Number = {219}, Publisher = {American Mathematical Society, Providence, RI}, Series = {Translations of Mathematical Monographs}, Title = {Asymptotic Representation Theory of the Symmetric Group and its Applications in Analysis}, Year = {2003}} @book{KR, Author = {Kreuzer, M. and Robbiano, L.}, Date-Modified = {2019-04-03 10:33:08 +1100}, Mrclass = {13P10 (68W30)}, Mrnumber = {2159476}, Mrreviewer = {Paulo F. Machado}, Publisher = {Springer-Verlag, Berlin}, Title = {Computational Commutative Algebra 2}, Year = {2005}} @article{LamLR, Author = {Lam, T.}, Doi = {10.1090/S0894-0347-06-00553-4}, Fjournal = {Journal of the American Mathematical Society}, Journal = {J. Amer. Math. Soc.}, Mrclass = {05E05 (14N15)}, Mrnumber = {2350056}, Mrreviewer = {David E. Anderson}, Number = {1}, Pages = {259--281}, Title = {Schubert polynomials for the affine {G}rassmannian}, Volume = {21}, Year = {2008}, Bdsk-Url-1 = {https://doi.org/10.1090/S0894-0347-06-00553-4}} @article{Lam2, Author = {Lam, T.}, Doi = {10.1214/14-AOP915}, Fjournal = {The Annals of Probability}, Journal = {Ann. Probab.}, Mrclass = {60C05 (60B15 60J10 60K35)}, Mrnumber = {3353811}, Mrreviewer = {Martin V. Hildebrand}, Number = {4}, Pages = {1643--1662}, Title = {The shape of a random affine {W}eyl group element and random core partitions}, Volume = {43}, Year = {2015}, Bdsk-Url-1 = {https://doi.org/10.1214/14-AOP915}} @article{LSS, Author = {Lam, T. and Schilling, A. and Shimozono, M.}, Doi = {10.1007/s00209-009-0488-9}, Fjournal = {Mathematische Zeitschrift}, Journal = {Math. Z.}, Mrclass = {14N15 (14M15)}, Mrnumber = {2593294}, Mrreviewer = {Gregory S. Warrington}, Number = {4}, Pages = {765--811}, Title = {Schubert polynomials for the affine {G}rassmannian of the symplectic group}, Volume = {264}, Year = {2010}, Bdsk-Url-1 = {https://doi.org/10.1007/s00209-009-0488-9}} @book{LLMSSZ, Author = {Lam, T. and Lapointe, L. and Morse, J. and Schilling, A. and Shimozono, M. and Zabrocki, M.}, Date-Modified = {2019-04-18 15:59:24 +1000}, Mrclass = {05-02 (05E05 14N15)}, Mrnumber = {3379711}, Mrreviewer = {Arthur L. B. Yang}, Number = {33}, Publisher = {Springer, New York}, Series = {Fields Institute Monographs}, Title = {{$k$}-{S}chur Functions and Affine {S}chubert Calculus}, Year = {2014}} @article{LLM, Author = {Lapointe, L. and Lascoux, A. and Morse, J.}, Doi = {10.1215/S0012-7094-03-11614-2}, Fjournal = {Duke Mathematical Journal}, 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://doi.org/10.1215/S0012-7094-03-11614-2}} @article{LLP2, Author = {Lecouvey, C. and Lesigne, E. and Peign\'{e}, M.}, Doi = {10.1090/tran/6468}, Fjournal = {Transactions of the American Mathematical Society}, Journal = {Trans. Amer. Math. Soc.}, Mrclass = {17B10 (05E05 05E10 17B67 60G50 60J10)}, Mrnumber = {3451874}, Mrreviewer = {Kun Soo Chang}, Number = {5}, Pages = {3177--3210}, Title = {Conditioned random walks from {K}ac-{M}oody root systems}, Volume = {368}, Year = {2016}, Bdsk-Url-1 = {https://doi.org/10.1090/tran/6468}} @misc{LT, Author = {Lecouvey, C. and Tarrago, P.}, Eprint = {1609.00138}, Eprinttype = {arxiv}, Title = {Harmonic functions on multiplicative graphs and weight polytopes of representations}, Year = {2016}} @book{Mac, Author = {Macdonald, I. G.}, Date-Modified = {2019-04-03 10:35:16 +1100}, Edition = {2}, Mrclass = {05E05 (01A75 05-02 20C30 20C33 20K01 33C80 33D80)}, Mrnumber = {3443860}, Publisher = {The Clarendon Press, Oxford University Press, New York}, Series = {Oxford Classic Texts in the Physical Sciences}, Title = {Symmetric Functions and {H}all Polynomials}, Year = {2015}} @article{MS, Author = {Morse, J. and Schilling, A.}, Doi = {10.1093/imrn/rnv194}, Fjournal = {International Mathematics Research Notices. IMRN}, Journal = {Int. Math. Res. Not. IMRN}, Mrclass = {14M15 (14N35)}, Mrnumber = {3519114}, Mrreviewer = {Pierre-Emmanuel Chaput}, Number = {8}, Pages = {2239--2294}, Title = {Crystal approach to affine {S}chubert calculus}, Year = {2016}, Bdsk-Url-1 = {https://doi.org/10.1093/imrn/rnv194}} @article{P, Author = {Pon, S.}, Doi = {10.1007/s10801-012-0352-6}, Fjournal = {Journal of Algebraic Combinatorics. An International Journal}, Journal = {J. Algebraic Combin.}, Mrclass = {05E05 (05E15 14N15)}, Mrnumber = {2984158}, Mrreviewer = {Kurt W. Luoto}, Number = {4}, Pages = {595--622}, Title = {Affine {S}tanley symmetric functions for classical types}, Volume = {36}, Year = {2012}, Bdsk-Url-1 = {https://doi.org/10.1007/s10801-012-0352-6}} @article{Ri, Author = {Rietsch, K.}, Doi = {10.1090/S0894-0347-02-00412-5}, Fjournal = {Journal of the American Mathematical Society}, Journal = {J. Amer. Math. Soc.}, Mrclass = {14N35 (14N15 15A48)}, Mrnumber = {1949164}, Mrreviewer = {Frank Sottile}, Number = {2}, Pages = {363--392}, Title = {Totally positive {T}oeplitz matrices and quantum cohomology of partial flag varieties}, Volume = {16}, Year = {2003}, Bdsk-Url-1 = {https://doi.org/10.1090/S0894-0347-02-00412-5}}