Maximal entropy measures of diffeomorphisms of circle fiber bundles

DOI10.1112/jlms.12399zbMath1478.37040arXiv1909.00219OpenAlexW2971717107MaRDI QIDQ4994490

Raúl Ures, Jiagang Yang, Marcelo Viana

Publication date: 18 June 2021

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

Full work available at URL: https://arxiv.org/abs/1909.00219

zbMATH Keywords

nilmanifoldsmaximal entropy measurespartially hyperbolic diffeomorphisms

Mathematics Subject Classification ID

Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Invariant manifold theory for dynamical systems (37D10) Partially hyperbolic systems and dominated splittings (37D30)

Related Items (4)

On the number of ergodic measures of maximal entropy for partially hyperbolic diffeomorphisms with compact center leaves ⋮ Statistical stability for diffeomorphisms with mostly expanding and mostly contracting centers ⋮ Thermodynamical u-formalism I: measures of maximal u-entropy for maps that factor over Anosov ⋮ (Dis)continuity of Lyapunov exponents

Cites Work

• Unnamed Item
• Partial hyperbolicity on 3-dimensional nilmanifolds
• The entropy conjecture for diffeomorphisms away from tangencies
• Density of accessibility for partially hyperbolic diffeomorphisms with one-dimensional center
• Extremal Lyapunov exponents: an invariance principle and applications
• Lyapunov exponents, entropy and periodic orbits for diffeomorphisms
• Intrinsic ergodicity of smooth interval maps
• Généricité d'exposants de Lyapunov non-nuls pour des produits déterministes de matrices. (Genericity of non-zero Lyapunov exponents for deterministic products of matrices)
• SRB measures for partially hyperbolic systems whose central direction is mostly expanding
• Dynamics beyond uniform hyperbolicity. A global geometric and probabilistic perspective
• SRB measures for partially hyperbolic systems whose central direction is mostly contracting
• Equilibrium measures for some partially hyperbolic systems
• Entropy along expanding foliations
• Almost all cocycles over any hyperbolic system have nonvanishing Lyapunov exponents
• Physical measures and absolute continuity for one-dimensional center direction
• Geometric and measure-theoretical structures of maps with mostly contracting center
• 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
• On the Three-Legged Accessibility Property
• Foundations of Ergodic Theory
• Gibbs measures for partially hyperbolic attractors
• Expansive homeomorphisms of surfaces
• A Relativised Variational Principle for Continuous Transformations
• Stability of accessibility
• Invariance principle and rigidity of high entropy measures
• Symbolic dynamics for surface diffeomorphisms with positive entropy
• Pointwise partial hyperbolicity in three-dimensional nilmanifolds
• Selected topics from the metric theory of dynamical systems
• Expansive homeomorphisms of compact surfaces are pseudo-Anosov
• Equilibrium states and the ergodic theory of Anosov diffeomorphisms

This page was built for publication: Maximal entropy measures of diffeomorphisms of circle fiber bundles