Invariant family of leaf measures and the Ledrappier–Young property for hyperbolic equilibrium states
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Publication:6068416
DOI10.1017/etds.2022.110arXiv2203.03492OpenAlexW4313465497MaRDI QIDQ6068416
Publication date: 15 December 2023
Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2203.03492
Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Dynamical systems with hyperbolic orbits and sets (37D05)
Cites Work
- Unnamed Item
- Ergodic properties of equilibrium measures for smooth three dimensional flows
- Bernoullicity of equilibrium measures on countable Markov shifts
- Uniqueness of SRB measures for transitive diffeomorphisms on surfaces
- Bernoulli equilibrium states for surface diffeomorphisms
- Recurrence and transience for suspension flows
- The metric entropy of diffeomorphisms. I: Characterization of measures satisfying Pesin's entropy formula
- Unique ergodicity of the horocycle flow: variable negative curvature case
- Unique ergodicity for horocycle foliations
- Symbolic dynamics for non-uniformly hyperbolic diffeomorphisms of compact smooth manifolds
- Thermodynamic formalism for transient potential functions
- The degree of Bowen factors and injective codings of diffeomorphisms
- Equilibrium measures for some partially hyperbolic systems
- Measures of maximal entropy for surface diffeomorphisms
- Hyperbolic SRB measures and the leaf condition
- Propriétés ergodiques des mesures de Sinaï
- The metric entropy of diffeomorphisms. II: Relations between entropy, exponents and dimension
- Construction of Markov partitions
- Certain measures associated with U-flows on compact manifolds
- Thermodynamic formalism for countable Markov shifts
- A proof of the estimation from below in Pesin's entropy formula
- An inequality for the entropy of differentiable maps
- The Poincare Flow of a Foliation
- Regular Points for Ergodic Sinai Measures
- CHARACTERISTIC LYAPUNOV EXPONENTS AND SMOOTH ERGODIC THEORY
- Symmetric Gibbs measures
- [https://portal.mardi4nfdi.de/wiki/Publication:4401805 Principe variationnel et syst�mes dynamiques symboliques]
- Uniqueness of equilibrium measures for countable Markov shifts and multidimensional piecewise expanding maps
- Ergodic Attractors
- Introduction to Dynamical Systems
- Symbolic dynamics for surface diffeomorphisms with positive entropy
- Local product structure for Equilibrium States
- Thermodynamic formalism for countable Markov shifts
- The set of points with Markovian symbolic dynamics for non-uniformly hyperbolic diffeomorphisms
- Equilibrium states in dynamical systems via geometric measure theory
- Similarity of automorphisms of the torus
- Hyperbolic Limit Sets
- GIBBS MEASURES IN ERGODIC THEORY
- Equilibrium states and the ergodic theory of Anosov diffeomorphisms
- Thermodynamic formalism for null recurrent potentials
