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We construct a geometric lifting of the Burge correspondence as a composition of local birational maps on generic Young-diagram-shaped arrays.
Elia Bisi and Nikos Zygouras · 1905
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“Color-position symmetry in interacting particle systems” To appear
Alexei Borodin and Alexey Bufetov · 1905
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“Localization in Gaussian disordered systems at low temperature” To appear
Erik Bates and Sourav Chatterjee · 1906
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“Full-path localization of directed polymers”, 2019
Erik Bates · 1910
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“Shift-invariance for vertex models and polymers”, 2019
Alexei Borodin, Vadim Gorin and Michael Wheeler · 1912
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“A characterization of the gamma distribution”
Eugene Lukacs · 1955
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“Permutations, matrices, and generalized Young tableaux”
Donald. Knuth · 1970
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“Four correspondences between graphs and generalized Young tableaux”
William. Burge · 1974
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“La correspondance de Robinson”
Marcel-Paul Sch“”utzenberger · 1977
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“Tableaux and matrix correspondences”
Kiem-Phong Vo and Roger Whitney · 1983
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“Pinning and roughening of domain walls in Ising systems due to random impurities”
David. Huse and Christopher. Henley · 1985
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“Generalized Robinson-Schensted-Knuth correspondence”
Sergei Fomin · 1988
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“The Rankin-Selberg method: a survey”
Daniel Bump · 1989
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“The exterior square automorphic L-functions on GL n ( ℝ ) \mathrm{GL}_{n}(\mathbb{R}) ”
Daniel Bump and Friedberg · 1990
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“Applications and extensions of Fomin’s generalization of the Robinson-Schensted correspondence to differential posets”, 1991
Thomas Roby · 1991
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“Groups generated by involutions, Gelfand-Tsetlin patterns, and combinatorics of Young tableaux”
Arkadiy Berenstein and Anatol. Kirillov · 1996
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“Young Tableaux: With Applications to Representation Theory and Geometry”, London Mathematical Society Student Texts
William Fulton · 1997
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“Stationary phase integrals, quantum Toda lattices, flag manifolds and the mirror conjecture”
Alexander Givental · 1997
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“On the distribution of the length of the longest increasing subsequence of random permutations”
Jinho Baik, Percy Deift and Kurt Johansson · 1999
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“Enumerative combinatorics: volume 2” 62
Richard. Stanley · 1999
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“Shape fluctuations and random matrices”
Kurt Johansson · 2000
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“Algebraic aspects of increasing subsequences”
Jinho Baik and Eric. Rains · 2001
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“The Robinson-Schensted-Knuth bijection, quantum matrices and piece-wise linear combinatorics”
Arkadiy Berenstein and Anatol. Kirillov · 2001
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“The heat and the landscape I”, 2020
B“’alint Vir“’ag · 2008
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“Scaling for a one-dimensional directed polymer with boundary conditions”
Timo Sepp“”al“”ainen · 2012
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“Tropical combinatorics and Whittaker functions”
Ivan Corwin, Neil O’Connell, Timo Sepp“”al“”ainen and Nikos Zygouras · 2014
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“Geometric RSK correspondence, Whittaker functions and symmetrized random polymers”
Neil O’Connell, Timo Sepp“”al“”ainen and Nikos Zygouras · 2014
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“Jeu de taquin dynamics on infinite young tableaux and second class particles”
Dan Romik and Piotr “’Sniady · 2015
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“Introduction to Tropical Combinatorics”
Anatol. Kirillov · 2001
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Eric Stade · 2001
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Duncan Dauvergne · 2002
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Eric Stade · 2002
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Pavel Galashin · 2003
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Masatoshi Noumi and Yasuhiko Yamada · 2004
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Francis Comets · 2017
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“Variants of geometric RSK, geometric PNG, and the multipoint distribution of the log-gamma polymer”
Vu-Lan Nguyen and Nikos Zygouras · 2017
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Dan Betea · 2018
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“Random polymers via orthogonal Whittaker and symplectic Schur functions”, 2018
Elia Bisi · 2018
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“Some algebraic structures in the KPZ universality”, 2018
Nikos Zygouras · 2018
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Elia Bisi and Nikos Zygouras · 2019
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“GOE and Airy 2 → 1 {\rm Airy}_{2\to 1} marginal distribution via symplectic Schur functions”
Elia Bisi and Nikos Zygouras · 2019
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“Proof of the path localization conjecture for directed polymers”
Sourav Chatterjee · 2019
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Guillaume Barraquand, Alexei Borodin and Ivan Corwin · 2020
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Erik Bates and Sourav Chatterjee · 2020
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Elia Bisi, Fabio Cunden, Shane Gibbons and Dan Romik · 2020
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