Thermodynamical u-formalism I: measures of maximal u-entropy for maps that factor over Anosov

被引：2

作者：

Ures, Raul ^{[1
,2
]}

Viana, Marcelo ^{[3
]}

Yang, Fan ^{[4
]}

Yang, Jiagang ^{[5
]}

机构：

[1] Southern Univ Sci & Technol, Dept Math, Shenzhen, Guangdong, Peoples R China

[2] SUSTech Int Ctr Math, Shenzhen, Guangdong, Peoples R China

[3] IMPA, Est D Castorina 110, BR-22460320 Rio De Janeiro, Brazil

[4] Michigan State Univ, Dept Math, E Lansing, MI USA

[5] Univ Fed Fluminense, Dept Geometria, Inst Matemat & Estat, Niteroi, RJ, Brazil

来源：

ERGODIC THEORY AND DYNAMICAL SYSTEMS | 2024年 / 44卷 / 01期

关键词：

partially hyperbolic diffeomorphism; u-entropy; mostly contracting center; PARTIALLY HYPERBOLIC SYSTEMS; HOMOCLINIC TANGENCIES; VARIATIONAL PRINCIPLE; LYAPUNOV EXPONENTS; CENTRAL DIRECTION; METRIC ENTROPY; SRB MEASURES; DIFFEOMORPHISMS; PERTURBATION; ERGODICITY;

D O I：

10.1017/etds.2023.8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We construct measures of maximal u-entropy for any partially hyperbolic diffeomorphism that factors over an Anosov torus automorphism and has mostly contracting center direction. The space of such measures has finite dimension, and its extreme points are ergodic measures with pairwise disjoint supports.

引用

页码：290 / 333

页数：44

共 6 条

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