Convergence of equilibrium measures corresponding to finite subgraphs of infinite graphs: new examples

Autor:	Gurevich, B. M.
Rok vydání:	2020
Předmět:	Mathematics - Dynamical Systems 37A60 (Primary) 37D35 (Secondary)
Druh dokumentu:	Working Paper
Popis:	A problem from thermodynamic formalism for countable symbolic Markov chains is considered. It concerns asymptotic behavior of the equilibrium measures corresponding to increasing sequences of finite sub-matrices of an infinite nonnegative matrix $A$ when these sequences converge to $A$. After reviewing the results obtained up to now, a solution of the problem is given for a new matrix class, which differs from those studied previously in some essential feature. A geometric language of loaded graphs instead of the matrix language is used. Comment: LaTex 14 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2011.05403 Zobrazit plný text záznamu View this record from Arxiv