无穷图的有限子图对应的平衡测度的收敛性:新例子

Topology, Geometry, and Dynamics Pub Date : 2020-11-10 DOI:10.1090/conm/772/15487

B. Gurevich

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引用次数: 2

摘要

从热力学形式化的角度考虑了可数符号马尔可夫链的问题。研究了无限非负矩阵A A的有限子矩阵的递增序列收敛于A A时所对应的平衡测度的渐近性。在回顾了已有结果的基础上，给出了一类新的矩阵类问题的解法。使用加载图的几何语言，而不是矩阵语言。

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

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 submatrices of an infinite nonnegative matrix A A when these sequences converge to A A . After reviewing the results obtained up to now, a solution of the problem is given for a new matrix class. The geometric language of loaded graphs is used, instead of the matrix language.

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Topology, Geometry, and Dynamics

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