A common limit in large rank for Markov chains defined from representations of classical Lie algebras

Autor:	Despax, Vivien
Rok vydání:	2017
Předmět:	Mathematics - Representation Theory Mathematics - Combinatorics Mathematics - Probability
Druh dokumentu:	Working Paper
Popis:	From the datum of an integer partition and a classical Lie algebra, one can define a Markov chain on an associated multiplicative graph. For each classical family A, C, B, D, we thus obtain a sequence of Markov chain which is indexed by the rank of the considered algebra. In this article we show that, for each type, the transition kernel of the Markov chain has a limit when the rank tends to infinity. Moreover, the limit kernel does not depend on the considered type.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1704.04439 Zobrazit plný text záznamu View this record from Arxiv