Differentiability of entropy for Anosov and geodesic flows

DOI10.1090/S0273-0979-1990-15889-6zbMath0717.58045OpenAlexW2000120883MaRDI QIDQ5748628

Gerhard Knieper, Mark Pollicott, Howard Weiss, Anatole Katok

Publication date: 1990

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0273-0979-1990-15889-6

zbMATH Keywords

perturbationgeodesic flowsAnosov flowstopological entropymetric entropy

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) Geodesic flows in symplectic geometry and contact geometry (53D25) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40) Dynamical systems with hyperbolic behavior (37D99)

Related Items (8)

The work of Sébastien Gouëzel on limit theorems and on weighted Banach spaces ⋮ SRB entropy of Markov transformations ⋮ Flexibility of geometric and dynamical data in fixed conformal classes ⋮ Differentiability and analyticity of topological entropy for Anosov and geodesic flows ⋮ Anatole Katok ⋮ Regularity of SRB entropy for geometric Lorenz attractors ⋮ Alternative proofs of linear response for piecewise expanding unimodal maps ⋮ Geodesic stretch, pressure metric and marked length spectrum rigidity

Cites Work

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• Symbolic Dynamics for Hyperbolic Flows
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