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Convergence of equilibrium measures corresponding to finite subgraphs of infinite graphs: new examplesстатья
- Автор: Gurevich B.M.
- Журнал: Preprint Arxiv.org (Cornell University Library)
- Год издания: 2020
- Номер статьи: 2011.05403
- Аннотация: 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.
- Добавил в систему: Гуревич Борис Маркович