The entropy conjecture for dominated splitting with multi 1D centers via upper semi-continuity of the metric entropy

DOI10.1088/1361-6544/aa773czbMath1373.37016OpenAlexW2728839526WikidataQ123109463 ScholiaQ123109463MaRDI QIDQ5350516

Da-Wei Yang, Yuntao Zang, Yong-Luo Cao

Publication date: 1 September 2017

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/1361-6544/aa773c

zbMATH Keywords

metric entropydominated splitting

Mathematics Subject Classification ID

Ergodic theorems, spectral theory, Markov operators (37A30) Topological entropy (37B40) Partially hyperbolic systems and dominated splittings (37D30) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25) Dynamical systems involving smooth mappings and diffeomorphisms (37C05)

Related Items (5)

On the abundance of Sinai-Ruelle-Bowen measures ⋮ Volume growth and topological entropy of partially hyperbolic systems ⋮ Upper bounds on measure-theoretic tail entropy for dominated splittings ⋮ A forward ergodic closing lemma and the entropy conjecture for nonsingular endomorphisms away from tangencies ⋮ Random entropy expansiveness for diffeomorphisms with dominated splittings

Cites Work

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• On Pesin's entropy formula for dominated splittings without mixed behavior
• The entropy conjecture for diffeomorphisms away from tangencies
• A note on partially hyperbolic attractors: entropy conjecture and SRB measures
• The entropy conjecture for partially hyperbolic diffeomorphisms with 1-D center
• Volume growth and entropy
• Entropy and stability
• Entropy-expansiveness for partially hyperbolic diffeomorphisms
• Dynamical systems, filtrations and entropy
• Adapted metrics for dominated splittings
• Entropy-Expansive Maps
• Invariant manifolds

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