Equilibrium measures of the natural extension of β-shifts

被引：0

作者：

Pfister, C-E ^{[1
]}

Sullivan, W. G. ^{[2
]}

机构：

[1] Ecole Polytech Fed Lausanne, Fac Basic Sci, Sect Math, CH-1015 Lausanne, Switzerland

[2] UCD, Sch Math & Stat, Dublin 4, Ireland

来源：

ERGODIC THEORY AND DYNAMICAL SYSTEMS | 2022年 / 42卷 / 07期

关键词：

beta-shifts; symbolic dynamics; equilibrium measures; weak Gibbs measures; WEAK GIBBS MEASURES; STATES;

D O I：

10.1017/etds.2021.38

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We give a necessary and sufficient condition on beta of the natural extension of a beta-shift, so that any equilibrium measure for a function of bounded total oscillations is a weak Gibbs measure.

引用

页码：2415 / 2430

页数：16

共 12 条

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