Dominated splitting, partial hyperbolicity and positive entropy

DOI10.3934/dcds.2016006zbMath1366.37082arXiv1409.6107OpenAlexW2249607314MaRDI QIDQ321586

Eleonora Catsigeras, Xue Ting Tian

Publication date: 14 October 2016

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1409.6107

zbMATH Keywords

partial hyperbolicitydominated splittingpositive metric entropypositive topological entropySRB-like measures

Mathematics Subject Classification ID

Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Topological entropy (37B40) Partially hyperbolic systems and dominated splittings (37D30) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25)

Related Items

On local constancy of topological entropy for certain partially hyperbolic diffeomorphisms, Accessibility and centralizers for partially hyperbolic flows

Cites Work

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