Equilibrium states for non-uniformly expanding skew products

被引：0

作者：

Hemenway, Gregory ^{[1
]}

机构：

[1] Ohio State Univ, Dept Math, Columbus, OH 43232 USA

来源：

ERGODIC THEORY AND DYNAMICAL SYSTEMS | 2024年 / 44卷 / 09期

基金：

美国国家科学基金会;

关键词：

equilibrium states; RPF transfer operator; non-uniformly expanding; skew products;

D O I：

10.1017/etds.2023.111

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study equilibrium states for a class of non-uniformly expanding skew products, and show how a family of fiberwise transfer operators can be used to define the conditional measures along fibers of the product. We prove that the pushforward of the equilibrium state onto the base of the product is itself an equilibrium state for a Holder potential defined via these fiberwise transfer operators.

引用

页码：2599 / 2620

页数：22

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