Hyperbolicity of maximal entropy measures for certain maps isotopic to Anosov diffeomorphisms

被引：0
|
作者：
Alvarez, Carlos F. [1 ,2 ]
机构：
[1] IMECC UNICAMP, Inst Matemat Estat & Comp Cient, Campinas, SP, Brazil
[2] Univ Sinu Secc Cartagena, Area Ciencias Basicas Exactas, Grp Invest Deart, Ave El Bosque, Trasnversal 54 30-72, Cartagena De Indias 130001, Colombia
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2023年 / 528卷 / 01期
关键词：
Maximal entropy measures; Partially hyperbolic diffeomorphisms; Hyperbolic measures; METRIC ENTROPY;
D O I：
10.1016/j.jmaa.2023.127531
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove the hyperbolicity of ergodic maximal entropy measures for a class of partially hyperbolic diffeomorphisms of Td, which have a compact two-dimensional center foliation. & COPY; 2023 Elsevier Inc. All rights reserved.
引用
收藏
页数：9
相关论文
共 50 条
  • [1] Invariance of entropy for maps isotopic to Anosov
    Carrasco, Pablo D.
    Lizana, Cristina
    Pujals, Enrique
    Vasquez, Carlos H.
    NONLINEARITY, 2021, 34 (03) : 1612 - 1632
  • [2] Maximal entropy measures for certain partially hyperbolic, derived from Anosov systems
    Buzzi, J.
    Fisher, T.
    Sambarino, M.
    Vasquez, C.
    ERGODIC THEORY AND DYNAMICAL SYSTEMS, 2012, 32 : 63 - 79
  • [3] Measures of maximal entropy for surface diffeomorphisms
    Buzzi, Jerome
    Crovisier, Sylvain
    Sarig, Omri
    ANNALS OF MATHEMATICS, 2022, 195 (02) : 421 - 508
  • [4] A DICHOTOMY FOR MEASURES OF MAXIMAL ENTROPY NEAR TIME-ONE MAPS OF TRANSITIVE ANOSOV FLOWS
    Buzzi, Jerome
    Fisher, Todd
    Tahzibi, Ali
    ANNALES SCIENTIFIQUES DE L ECOLE NORMALE SUPERIEURE, 2022, 55 (04): : 969 - 1002
  • [5] Maximal entropy measures of diffeomorphisms of circle fiber bundles
    Ures, Raul
    Viana, Marcelo
    Yang, Jiagang
    JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 2021, 103 (03): : 1016 - 1034
  • [6] Thermodynamical u-formalism I: measures of maximal u-entropy for maps that factor over Anosov
    Ures, Raul
    Viana, Marcelo
    Yang, Fan
    Yang, Jiagang
    ERGODIC THEORY AND DYNAMICAL SYSTEMS, 2024, 44 (01) : 290 - 333
  • [7] FIXED POINTS OF ANOSOV DIFFEOMORPHISMS OF CERTAIN MANIFOLDS
    SONDOW, JD
    NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1970, 17 (02): : 414 - &
  • [8] A relation between entropy and transitivity of Anosov diffeomorphisms
    Micena, Fernando Pereira
    Rodriguez-Hertz, Jana
    JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS, 2023, 29 (04) : 1241 - 1249
  • [9] A relation between entropy and transitivity of Anosov diffeomorphisms
    Fernando Pereira Micena
    Jana Rodriguez-Hertz
    Journal of Dynamical and Control Systems, 2023, 29 : 1241 - 1249
  • [10] TOPOLOGICAL ENTROPY FOR ANOSOV MAPS
    孙文祥
    Chinese Science Bulletin, 1991, (23) : 1948 - 1952
12345