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.
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页码：2177 / 2200
页数：24
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