可数Markov位移的Gibbs测度的压力不等式

IF 0.5 4区数学 Q4 MATHEMATICS, APPLIED

Dynamical Systems-An International Journal Pub Date : 2021-04-03 DOI:10.1080/14689367.2021.1905777

René Rühr

引用次数: 2

摘要

我们给出了拓扑混合可数Markov位移与局部Hölder连续势的Gibbs测度的唯一性的量化。给出了有限子系统逼近收敛速度的推论。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Pressure inequalities for Gibbs measures of countable Markov shifts

We provide a quantification of the uniqueness of Gibbs measure for topologically mixing countable Markov shifts with locally Hölder continuous potentials. Corollaries for speed of convergence for approximation by finite subsystems are also given.

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来源期刊

Dynamical Systems-An International Journal 物理-力学

CiteScore

0.90

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Dynamical Systems: An International Journal is a world-leading journal acting as a forum for communication across all branches of modern dynamical systems, and especially as a platform to facilitate interaction between theory and applications. This journal publishes high quality research articles in the theory and applications of dynamical systems, especially (but not exclusively) nonlinear systems. Advances in the following topics are addressed by the journal: •Differential equations •Bifurcation theory •Hamiltonian and Lagrangian dynamics •Hyperbolic dynamics •Ergodic theory •Topological and smooth dynamics •Random dynamical systems •Applications in technology, engineering and natural and life sciences