Equilibrium states for natural extensions of non-uniformly expanding local homeomorphisms

被引：0

作者：

Fisher, Todd ^{[1
]}

Oliveira, Krerley ^{[2
]}

机构：

[1] Brigham Young Univ, Dept Math, Provo, UT 84602 USA

[2] Univ Fed Alagoas, Inst Matemat, Maceio, Alagoas, Brazil

来源：

DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL | 2021年 / 36卷 / 04期

关键词：

Dynamical systems; equilibrium states; attractor; measures of maximal entropy; natural extension; ATTRACTORS; SYSTEMS;

D O I：

10.1080/14689367.2021.1983773

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We examine the uniqueness of equilibrium states for the natural extension of a topologically exact, non-uniformly expanding, local homeomorphism with a Holder continuous potential function. We do this by applying general techniques developed by Climenhaga and Thompson, and show there is a natural condition on the decompositions which guarantees a unique equilibrium state exists. We then show how to apply these results to certain partially hyperbolic attractors.

引用

页码：685 / 698

页数：14

共 16 条

[1] SRB measures for non-hyperbolic systems with multidimensional expansion [J].