The set of points with Markovian symbolic dynamics for non-uniformly hyperbolic diffeomorphisms

DOI10.1017/etds.2020.114zbMath1481.37010OpenAlexW3095441041WikidataQ114119366 ScholiaQ114119366MaRDI QIDQ5156787

Snir Ben Ovadia

Publication date: 12 October 2021

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/etds.2020.114

zbMATH Keywords

symbolic dynamicsnonuniform hyperbolicityMarkov partition

Mathematics Subject Classification ID

Dynamical aspects of measure-preserving transformations (37A05) Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Symbolic dynamics (37B10) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25)

Related Items

Invariant family of leaf measures and the Ledrappier–Young property for hyperbolic equilibrium states ⋮ Summable orbits

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Uniqueness of SRB measures for transitive diffeomorphisms on surfaces
• Continuity properties of entropy
• Lyapunov exponents, entropy and periodic orbits for diffeomorphisms
• The ergodic theory of axiom A flows
• Symbolic dynamics for non-uniformly hyperbolic diffeomorphisms of compact smooth manifolds
• Symbolic dynamics for three-dimensional flows with positive topological entropy
• Symbolic dynamics for one dimensional maps with nonuniform expansion
• Markov partitions and \(C\)-diffeomorphisms
• Construction of Markov partitions
• A Measure Associated with Axiom-A Attractors
• Symbolic dynamics for non-uniformly hyperbolic surface maps with discontinuities
• Introduction to Dynamical Systems
• Thermodynamic Formalism
• Symbolic dynamics for surface diffeomorphisms with positive entropy
• ENTROPY, A COMPLETE METRIC INVARIANT FOR AUTOMORPHISMS OF THE TORUS
• Hyperbolic Limit Sets
• GIBBS MEASURES IN ERGODIC THEORY
• Equilibrium states and the ergodic theory of Anosov diffeomorphisms