THE COHOMOLOGICAL EQUATION FOR PARTIALLY HYPERBOLIC DIFFEOMORPHISMS

被引：0
|
作者：
Wilkinson, Amie [1 ]
机构：
[1] Univ Chicago, Dept Math, Chicago, IL 60637 USA
来源：
ASTERISQUE | 2013年 / 358期
基金：
美国国家科学基金会;
关键词：
Partial hyperbolicity; abelian cocycle; cohomological equation; Livsic theory; holonomy invariance; rigidity; STABLE ERGODICITY; DYNAMICAL-SYSTEMS; ACCESSIBILITY; REGULARITY; PRODUCTS; COCYCLES; RIGIDITY;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We develop criteria for the existence and regularity of solutions to the cohomological equation over an accessible, partially hyperbolic diffeomorphism.
引用
收藏
页码：75 / 165
页数：91
相关论文
共 50 条
  • [31] Transitive partially hyperbolic diffeomorphisms on 3-manifolds
    Bonatti, C
    Wilkinson, A
    [J]. TOPOLOGY, 2005, 44 (03) : 475 - 508
  • [32] SRB measures for partially hyperbolic attractors of local diffeomorphisms
    Cruz, Anderson
    Varandas, Paulo
    [J]. ERGODIC THEORY AND DYNAMICAL SYSTEMS, 2020, 40 (06) : 1545 - 1593
  • [33] CENTER SPECIFICATION PROPERTY AND ENTROPY FOR PARTIALLY HYPERBOLIC DIFFEOMORPHISMS
    Wang, Lin
    Zhu, Yujun
    [J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2016, 36 (01) : 469 - 479
  • [34] Anomalous partially hyperbolic diffeomorphisms III: Abundance and incoherence
    Bonatti, Christian
    Gogolev, Andrey
    Hammerlindl, Andy
    Potrie, Rafael
    [J]. GEOMETRY & TOPOLOGY, 2020, 24 (04) : 1751 - 1790
  • [35] Center foliation rigidity for partially hyperbolic toral diffeomorphisms
    Andrey Gogolev
    Boris Kalinin
    Victoria Sadovskaya
    [J]. Mathematische Annalen, 2023, 387 : 1579 - 1602
  • [36] HOLONOMIES AND COHOMOLOGY FOR COCYCLES OVER PARTIALLY HYPERBOLIC DIFFEOMORPHISMS
    Kalinin, Boris
    Sadovskaya, Victoria
    [J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2016, 36 (01) : 245 - 259
  • [37] Center foliation rigidity for partially hyperbolic toral diffeomorphisms
    Gogolev, Andrey
    Kalinin, Boris
    Sadovskaya, Victoria
    [J]. MATHEMATISCHE ANNALEN, 2023, 387 (3-4) : 1579 - 1602
  • [38] Partially hyperbolic diffeomorphisms on Heisenberg nilmanifolds and holonomy maps
    Shi, Yi
    [J]. COMPTES RENDUS MATHEMATIQUE, 2014, 352 (09) : 743 - 747
  • [39] A NEW CRITERION OF PHYSICAL MEASURES FOR PARTIALLY HYPERBOLIC DIFFEOMORPHISMS
    Hua, Yongxia
    Yang, Fan
    Yang, Jiagang
    [J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2020, 373 (01) : 385 - 417
  • [40] Physical measures for partially hyperbolic diffeomorphisms with mixed hyperbolicity
    Cao, Yongluo
    Mi, Zeya
    Yang, Jiagang
    [J]. NONLINEARITY, 2024, 37 (07)
12345