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arXiv · 2011.05403

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

B. M. Gurevich
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Abstract

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.

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B. M. Gurevich. 2020-11-10. Convergence of equilibrium measures corresponding to finite subgraphs of infinite graphs: new examples. https://arxiv.org/abs/2011.05403

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