Equilibrium states for natural extensions of non-uniformly expanding local homeomorphisms

DOI10.1080/14689367.2021.1983773zbMath1497.37038arXiv2005.00598OpenAlexW3204755212MaRDI QIDQ5014341

Todd Fisher, Krerley Oliveira

Publication date: 2 December 2021

Published in: Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.00598

zbMATH Keywords

attractorequilibrium statesnatural extensionmeasures of maximal entropy

Mathematics Subject Classification ID

Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Partially hyperbolic systems and dominated splittings (37D30)

Cites Work

• Unique equilibrium states for flows and homeomorphisms with non-uniform structure
• Existence, uniqueness and stability of equilibrium states for non-uniformly expanding maps
• Lectures on partial hyperbolicity and stable ergodicity
• Intrinsic ergodicity beyond specification: \({\beta}\)-shifts, \(S\)-gap shifts, and their factors
• Existence and uniqueness of maximizing measures for robust classes of local diffeomorphisms
• Equilibrium states for hyperbolic potentials
• Foundations of Ergodic Theory
• Ergodic Attractors for Diffeomorphisms of Surfaces
• Some systems with unique equilibrium states
• Unique equilibrium states for Bonatti–Viana diffeomorphisms
• SRB measures for non-hyperbolic systems with multidimensional expansion
• Equilibrium states for certain partially hyperbolic attractors
• Equilibrium states for Mañé diffeomorphisms
• Equilibrium stability for non-uniformly hyperbolic systems
• Expanding attractors

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