The entropy conjecture for partially hyperbolic diffeomorphisms with 1-D center

DOI10.1016/j.topol.2009.04.053zbMath1200.37027OpenAlexW2083847987WikidataQ122879653 ScholiaQ122879653MaRDI QIDQ1041641

Radu Saghin, Zhihong Xia

Publication date: 3 December 2009

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2009.04.053

zbMATH Keywords

spectral radiustopological entropypartially hyperbolic diffeomorphismsentropy conjecture

Mathematics Subject Classification ID

Partially hyperbolic systems and dominated splittings (37D30)

Related Items (9)

On Pesin's entropy formula for dominated splittings without mixed behavior ⋮ The entropy conjecture for dominated splitting with multi 1D centers via upper semi-continuity of the metric entropy ⋮ ORDERS OF GROWTH AND GENERALIZED ENTROPY ⋮ Volume growth and entropy for \(C^1\) partially hyperbolic diffeomorphisms ⋮ A note on partially hyperbolic attractors: entropy conjecture and SRB measures ⋮ A forward ergodic closing lemma and the entropy conjecture for nonsingular endomorphisms away from tangencies ⋮ On local constancy of topological entropy for certain partially hyperbolic diffeomorphisms ⋮ Entropy of partially hyperbolic flows with center dimension two ⋮ Brief survey on the topological entropy

Cites Work

• Estimates of the topological entropy from below for continuous self-maps on some compact manifolds
• Volume growth and entropy
• Currents, flows and diffeomorphisms
• Entropy and stability
• Entropy and volume
• Dynamical systems, filtrations and entropy
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