Uniqueness of the measure of maximal entropy for the standard map

DOI10.4171/CMH/508zbMath1478.37007arXiv2003.00236OpenAlexW3138066226MaRDI QIDQ2030899

D. J. Obata

Publication date: 8 June 2021

Published in: Commentarii Mathematici Helvetici (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.00236

zbMATH Keywords

entropyvariational principlesthermodynamic formalismequilibrium statesnonuniformly hyperbolic systems

Mathematics Subject Classification ID

Entropy and other invariants (28D20) Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Dynamical systems with hyperbolic orbits and sets (37D05) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25)

Related Items

Open sets of partially hyperbolic skew products having a unique SRB measure

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