Hyperbolic Lyapunov-Perron regular points and smooth invariant measures

被引：0

作者：

ALANSARI, N. A. W. A. F. ^{[1
]}

机构：

[1] Penn State Univ, Dept Math, State Coll, PA 16801 USA

来源：

ERGODIC THEORY AND DYNAMICAL SYSTEMS | 2023年 / 43卷 / 07期

关键词：

Lyapunov-Perron regularity; smooth measures; SRB; hyperbolicity; entropy; SRB MEASURES; SYMBOLIC DYNAMICS; CENTRAL DIRECTION; METRIC ENTROPY; DIFFEOMORPHISMS; SYSTEMS;

D O I：

10.1017/etds.2022.31

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For a C1+alpha diffeomorphism f of a compact smooth manifold, we give a necessary and sufficient condition that guarantees that if the set of hyperbolic Lyapunov-Perron regular points has positive volume, then f preserves a smooth measure. We use recent results on symbolic coding of chi-non-uniformly hyperbolic sets and results concerning the existence of SRB measures for them.

引用

页码：2177 / 2200

页数：24

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