On the number of ergodic measures of maximal entropy for partially hyperbolic diffeomorphisms with compact center leaves

DOI10.1007/s00209-021-02925-1OpenAlexW3173087807WikidataQ114231070 ScholiaQ114231070MaRDI QIDQ2126077

Joas Elias Rocha, Ali Tahzibi

Publication date: 14 April 2022

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2106.03116

zbMATH Keywords

ergodic measurespartially hyperbolic diffeomorphismsmaximal entropyMorse-Smale dynamics

Mathematics Subject Classification ID

Ergodicity, mixing, rates of mixing (37A25) Partially hyperbolic systems and dominated splittings (37D30) Dynamical systems involving smooth mappings and diffeomorphisms (37C05) Morse-Smale systems (37D15)

Related Items (1)

Topological transitivity of Kan-type partially hyperbolic diffeomorphisms

Cites Work

• Unnamed Item
• A non-dynamically coherent example on \(\mathbb T^3\)
• The entropy conjecture for diffeomorphisms away from tangencies
• Partial hyperbolicity and ergodicity in dimension three
• Extremal Lyapunov exponents: an invariance principle and applications
• Continuity properties of entropy
• Many intermingled basins in dimension 3
• A robustly transitive diffeomorphism of Kan's type
• Robustly topological mixing of Kan's map
• Entropy-expansiveness for partially hyperbolic diffeomorphisms
• Dynamics beyond uniform hyperbolicity. A global geometric and probabilistic perspective
• Equilibrium measures for some partially hyperbolic systems
• Maximal entropy measures for certain partially hyperbolic, derived from Anosov systems
• Intrinsic ergodicity of partially hyperbolic diffeomorphisms with a hyperbolic linear part
• Maximizing measures for partially hyperbolic systems with compact center leaves
• surface diffeomorphisms with no maximal entropy measure
• A Relativised Variational Principle for Continuous Transformations
• Open sets of diffeomorphisms having two attractors, each with an everywhere dense basin
• Stability of accessibility
• On the non-robustness of intermingled basins
• Maximal entropy measures of diffeomorphisms of circle fiber bundles
• Pointwise partial hyperbolicity in three-dimensional nilmanifolds
• An open dense set of stably ergodic diffeomorphisms in a neighborhood of a non-ergodic one

This page was built for publication: On the number of ergodic measures of maximal entropy for partially hyperbolic diffeomorphisms with compact center leaves