%% This BibTeX bibliography file was created using BibDesk. %% http://bibdesk.sourceforge.net/ %% Created for Gabe Frieden at 2020-12-01 16:15:00 -0500 %% Saved with string encoding Unicode (UTF-8) @unpublished{AF_qrst, Author = {F. Aigner and G. Frieden}, Date-Added = {2020-11-19 15:41:47 -0500}, Date-Modified = {2020-11-19 15:45:50 -0500}, Note = {arXiv:2009.03526}, Title = {{$q{\rm RS}t$}: {A} probabilistic {R}obinson-{S}chensted correspondence for {M}acdonald polynomials}, Year = {2020}} @article{Kerov, Author = {Kerov, S. V.}, Journal = {Funktsional. Anal. i Prilozhen}, Note = {Translation in Funct. Anal. Appl., 26(3):179--187 (1992)}, Number = {3}, Pages = {35--45}, Title = {{$q$}-analogue of the hook walk algorithm and random {Y}oung tableaux}, Volume = {26}, Year = {1992}} @article{Fomin95, Author = {Fomin, S.}, Journal = {J. Algebraic Combin.}, Number = {1}, Pages = {5--45}, Title = {Schensted algorithms for dual graded graphs}, Volume = {4}, Year = {1995}} @article{OConnellPei13, Author = {O'Connell, N. and Pei, Y.}, Journal = {Electron. J. Probab.}, Number = {95}, Pages = {25 pp.}, Title = {A {$q$}-weighted version of the {R}obinson-{S}chensted algorithm}, Volume = {18}, Year = {2013}} @article{Kashiwara, Author = {M. Kashiwara}, Journal = {Duke Math. J.}, Number = {2}, Pages = {465--516}, Title = {On crystal bases of the {$Q$}-analogue of universal enveloping algebras}, Volume = {63}, Year = {1991}} @article{CFKP2, Author = {I. Ciocan-Fontanine and M. Konvalinka and I. Pak}, Journal = {J. Combin. Theory Ser. A}, Number = {6}, Pages = {1703--1717}, Title = {The weighted hook length formula}, Volume = {118}, Year = {2011}} @article{CFKP1, Author = {I. Ciocan-Fontanine and M. Konvalinka and I. Pak}, Journal = {J. Algebra}, Pages = {268--283}, Title = {Quantum cohomology of {${\rm Hilb}_n(\Bbb C^2)$} and the weighted hook walk on {Y}oung diagrams}, Volume = {349}, Year = {2012}} @article{GNW2, Author = {C. Greene and A. Nijenhuis and H. Wilf}, Journal = {J. Combin. Theory Ser. A}, Number = {2}, Pages = {127--135}, Title = {Another probabilistic method in the theory of {Y}oung tableaux}, Volume = {37}, Year = {1984}} @article{GNW1, Author = {C. Greene and A. Nijenhuis and H. Wilf}, Journal = {Adv. in Math.}, Number = {1}, Pages = {104--109}, Title = {A probabilistic proof of a formula for the number of {Y}oung tableaux of a given shape}, Volume = {31}, Year = {1979}} @article{GarHai, Author = {A. M. Garsia and M. Haiman}, Journal = {J. Combin. Theory Ser. A}, Number = {1}, Pages = {74--111}, Title = {A random {$q$}, {$t$}-hook walk and a sum of {P}ieri coefficients}, Volume = {82}, Year = {1998}} @book{Mac, Author = {Macdonald, I. G.}, Date-Modified = {2020-12-01 16:05:36 -0500}, Edition = {Second edition}, Publisher = {The Clarendon Press, Oxford Univ. Press, New York}, Series = {Oxford Mathematical Monographs}, Title = {Symmetric functions and {H}all polynomials}, Year = {1995}} @book{EC2, Author = {Stanley, R. P.}, Note = {With a foreword by Gian-Carlo Rota and appendix 1 by Sergey Fomin}, Publisher = {Cambridge University Press, Cambridge}, Series = {Cambridge Studies in Advanced Mathematics}, Title = {Enumerative combinatorics. {V}ol. 2}, Volume = {62}, Year = {1999}} @article{BorodinCorwin14, Author = {Borodin, A. and Corwin, I.}, Journal = {Probab. Theory Related Fields}, Number = {1-2}, Pages = {225--400}, Title = {Macdonald processes}, Volume = {158}, Year = {2014}} @article{BufetovMatveev18, Author = {Bufetov, A. and Matveev, K.}, Journal = {Selecta Math. (N.S.)}, Number = {5}, Pages = {4839--4884}, Title = {{Hall-Littlewood RSK field}}, Volume = {24}, Year = {2018}} @article{Burge74, Author = {Burge, W. H.}, Journal = {J. Combin. Theory Ser. A}, Pages = {12--30}, Title = {{Four correspondences between graphs and generalized Young tableaux}}, Volume = {17}, Year = {1974}} @article{BorodinPetrov16, Author = {Borodin, A. and Petrov, L.}, Journal = {Adv. Math.}, Pages = {71--155}, Title = {{Nearest neighbor Markov dynamics on Macdonald processes}}, Volume = {300}, Year = {2016}} @article{BufetovPetrov15, Author = {Bufetov, A. and Petrov, L.}, Journal = {Selecta Math. (N.S.)}, Number = {4}, Pages = {1271--1338}, Title = {Law of large numbers for infinite random matrices over a finite field}, Volume = {21}, Year = {2015}} @article{BufetovPetrov19, Author = {Bufetov, A. and Petrov, L.}, Fjournal = {Forum of Mathematics. Sigma}, Journal = {Forum Math. Sigma}, Pages = {e39, 70}, Title = {{Yang-Baxter field for spin Hall-Littlewood symmetric functions}}, Volume = {7}, Year = {2019}} @article{Fomin86, Author = {Fomin, S. V.}, Date-Modified = {2020-12-01 16:15:00 -0500}, Journal = {Zap. Nauchn. Sem. LOMI}, Note = {Translation in J. Sov. Math. 41 (1988)}, Pages = {979--991}, Title = {{Generalized Robinson-Schensted-Knuth correspondence}}, Volume = {155}, Year = {1986}} @book{Fulton97, Author = {Fulton, W.}, Pages = {x+260}, Publisher = {Cambridge University Press, Cambridge}, Series = {London Mathematical Society Student Texts}, Title = {Young tableaux}, Volume = {35}, Year = {1997}} @article{MatveevPetrov17, Author = {Matveev, K. and Petrov, L.}, Journal = {Ann. Inst. Henri Poincar\'{e} D}, Number = {1}, Pages = {1--123}, Title = {{$q$-randomized Robinson-Schensted-Knuth correspondences and random polymers}}, Volume = {4}, Year = {2017}} @article{Pei14, Author = {Pei, Y.}, Journal = {J. Algebraic Combin.}, Number = {3}, Pages = {743--770}, Title = {{A symmetry property for $q$-weighted Robinson-Schensted and other branching insertion algorithms}}, Volume = {40}, Year = {2014}} @article{Pei17, Author = {Pei, Y.}, Journal = {Electron. J. Combin.}, Number = {4}, Pages = {P4.6, 38pp.}, Title = {{A $q$-Robinson-Schensted-Knuth algorithm and a $q$-polymer}}, Volume = {24}, Year = {2017}} @article{vanLeeuwen05, Author = {van Leeuwen, M. A. A.}, Journal = {Electron. J. Combin.}, Pages = {R10, 65}, Title = {Spin-preserving {K}nuth correspondences for ribbon tableaux}, Volume = {12}, Year = {2005}}