Measure of maximal entropy for finite horizon Sinai billiard flows

DOI10.5802/AHL.209MaRDI QIDQ6606897

Mark F. Demers, Viviane Baladi, Jérôme Carrand

Publication date: 17 September 2024

Published in: Annales Henri Lebesgue (Search for Journal in Brave)

zbMATH Keywords

finite horizonmeasure of maximal entropyequilibrium stateSinai billiard flow

Mathematics Subject Classification ID

Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Topological entropy (37B40) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30) Dynamical systems with singularities (billiards, etc.) (37C83)

Cites Work

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• On the measure of maximal entropy for finite horizon Sinai Billiard maps
• Entropy-Expansive Maps
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• Rates of mixing for the measure of maximal entropy of dispersing billiard maps

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