A new criterion of physical measures for partially hyperbolic diffeomorphisms

DOI10.1090/tran/7920zbMath1440.37040arXiv1812.03818OpenAlexW2954376044MaRDI QIDQ5206264

Yongxia Hua, Fan Yang, Jiagang Yang

Publication date: 18 December 2019

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.03818

zbMATH Keywords

partial hyperbolicity, SRB measure

Mathematics Subject Classification ID

Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Partially hyperbolic systems and dominated splittings (37D30)

Related Items

GEOMETRICAL AND MEASURE-THEORETIC STRUCTURES OF MAPS WITH A MOSTLY EXPANDING CENTER ⋮ Robust minimality of strong foliations for DA diffeomorphisms: 𝑐𝑢-volume expansion and new examples ⋮ Statistical stability for diffeomorphisms with mostly expanding and mostly contracting centers ⋮ Topological transitivity of Kan-type partially hyperbolic diffeomorphisms ⋮ Partially volume expanding diffeomorphisms ⋮ Empirical measures of partially hyperbolic attractors ⋮ Physical measures for partially hyperbolic flows with mostly contracting centre ⋮ Entropy along expanding foliations ⋮ Unstable entropy in smooth ergodic theory ^* ⋮ Statistical properties of physical-like measures*

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