Non symmetric Cauchy kernel, crystals and last passage percolation

Autor:	Azenhas, Olga, Gobet, Thomas, Lecouvey, Cédric
Rok vydání:	2022
Předmět:	Mathematics - Combinatorics Mathematics - Probability Mathematics - Representation Theory
Zdroj:	Tunisian J. Math. 6 (2024) 249-297
Druh dokumentu:	Working Paper
DOI:	10.2140/tunis.2024.6.249
Popis:	We use non-symmetric Cauchy kernel identities to get the law of last passagepercolation models in terms of Demazure characters. The construction is basedon some restrictions of the RSK correspondence that we rephrase in a unifiedway which is compatible with crystal basis theory.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2212.06587 Zobrazit plný text záznamu View this record from Arxiv