Analyticity of the Sinai-Ruelle-Bowen measure for a class of simple Anosov flows

DOI10.1063/1.2747612zbMath1144.81306arXivnlin/0607004OpenAlexW1492922575MaRDI QIDQ3529802

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Publication date: 14 October 2008

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0607004

Mathematics Subject Classification ID

Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Classical dynamic and nonequilibrium statistical mechanics (general) (82C05)

Related Items (1)

Sampling and Statistical Physics via Symmetry

Cites Work

• Regularity of topological and metric entropy of hyperbolic flows
• Differentiability and analyticity of topological entropy for Anosov and geodesic flows
• Perturbations of geodesic flows on surfaces of constant negative curvature and their mixing properties
• Canonical perturbation theory of Anosov systems and regularity results for the Livsic cohomology equation
• On a theorem of Anosov
• Markov partitions for Anosov flows on \(n\)-dimensional manifolds
• Geodesic flows on manifolds of constant negative curvature
• Large deviation rule for Anosov flows
• Electric fields on a surface of constant negative curvature
• Absolute continuity of projected SRB measures of coupled Arnold cat map lattices
• Symbolic Dynamics for Hyperbolic Flows
• Analyticity of the SRB measure of a lattice of coupled Anosov diffeomorphisms of the torus
• Differentiable dynamical systems
• Anosov Flows

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