Uniqueness and exponential mixing for the measure of maximal entropy for piecewise hyperbolic maps

DOI10.3934/dcds.2020217zbMath1464.37040arXiv2001.10068OpenAlexW3024013303MaRDI QIDQ2229249

Mark F. Demers

Publication date: 22 February 2021

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.10068

zbMATH Keywords

variational principletopological entropytransfer operatormeasure of maximal entropypiecewise hyperbolic maps

Mathematics Subject Classification ID

Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Topological entropy (37B40) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30)

Related Items (2)

Thermodynamic formalism for dispersing billiards ⋮ Rates of mixing for the measure of maximal entropy of dispersing billiard maps

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