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
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 21 条
  • [1] Barreira L., 2002, U LECT SERIES, V23
  • [2] Bowen R, 2008, LECT NOTES MATH, V470, P1, DOI 10.1007/978-3-540-77695-6
  • [3] Maximal entropy measures for certain partially hyperbolic, derived from Anosov systems
    Buzzi, J.
    Fisher, T.
    Sambarino, M.
    Vasquez, C.
    [J]. ERGODIC THEORY AND DYNAMICAL SYSTEMS, 2012, 32 : 63 - 79
  • [4] Measures of maximal entropy for surface diffeomorphisms
    Buzzi, Jerome
    Crovisier, Sylvain
    Sarig, Omri
    [J]. ANNALS OF MATHEMATICS, 2022, 195 (02) : 421 - 508
  • [5] Invariance of entropy for maps isotopic to Anosov
    Carrasco, Pablo D.
    Lizana, Cristina
    Pujals, Enrique
    Vasquez, Carlos H.
    [J]. NONLINEARITY, 2021, 34 (03) : 1612 - 1632
  • [6] ENTROPY-EXPANSIVENESS FOR PARTIALLY HYPERBOLIC DIFFEOMORPHISMS
    Diaz, Lorenzo J.
    Fisher, Todd
    Pacifico, Maria Jose
    Vieitez, Jose L.
    [J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2012, 32 (12) : 4195 - 4207
  • [7] LSYMBOLIC EXTENSIONS AND PARTIALLY HYPERBOLIC DIFFEOMORPHISMS
    Diaz, Lorenzo J.
    Fisher, Todd
    [J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2011, 29 (04) : 1419 - 1441
  • [8] Dynamical coherence of partially hyperbolic diffeomorphisms of tori isotopic to Anosov
    Fisher, Todd
    Potrie, Rafael
    Sambarino, Martin
    [J]. MATHEMATISCHE ZEITSCHRIFT, 2014, 278 (1-2) : 149 - 168
  • [9] Franks John, 1970, Global analysis, P61, DOI [10.1090/pspum/014/0271990, DOI 10.1090/PSPUM/014/0271990]
  • [10] Hirsch M W., 1977, Lecture Notes in Mathematics