Thermodynamic formalism for dispersing billiards

DOI10.3934/jmd.2022013zbMath1519.37029arXiv2009.10936OpenAlexW4287661896MaRDI QIDQ6040199

Mark F. Demers, Viviane Baladi

Publication date: 24 May 2023

Published in: Journal of Modern Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.10936

zbMATH Keywords

thermodynamic formalismtransfer operatorsdispersive billiardsanisotropic Banach spaces

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Ergodicity, mixing, rates of mixing (37A25) Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30) Dynamical systems with singularities (billiards, etc.) (37C83)

Related Items

Inducing schemes with finite weighted complexity, Rates of mixing for the measure of maximal entropy of dispersing billiard maps, Projective cones for sequential dispersing billiards, Lyapunov exponents and nonadapted measures for dispersing billiards

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