Zeta functions and analyticity of metric entropy for Anosov systems

DOI10.1007/BF02773864zbMath0813.58044MaRDI QIDQ1196341

Mark Pollicott

Publication date: 9 December 1992

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

zeta functionsmetric entropyAnosov flowAnosov diffeomorphismtheorem of Contreras

Mathematics Subject Classification ID

Entropy in general topology (54C70) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Low-dimensional dynamical systems (37E99) Dynamical systems with hyperbolic behavior (37D99)

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Cites Work

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• Regularity of topological and metric entropy of hyperbolic flows
• Differentiability and analyticity of topological entropy for Anosov and geodesic flows
• Canonical perturbation theory of Anosov systems and regularity results for the Livsic cohomology equation
• The ergodic theory of axiom A flows
• Bowen's equidistribution theory and the Dirichlet density theorem
• A complex Ruelle-Perron-Frobenius theorem and two counterexamples
• Symbolic Dynamics for Hyperbolic Flows