Lyapunov spectrum for geodesic flows of rank 1 surfaces

DOI10.3934/dcds.2014.34.1841zbMath1325.37018arXiv1106.0053OpenAlexW2326846397MaRDI QIDQ379847

Katrin Gelfert, Keith Burns

Publication date: 11 November 2013

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1106.0053

zbMATH Keywords

entropypressureLyapunov exponentsHausdorff dimensiongeodesic flowranknonpositive curvatureshadowingequilibrium state

Mathematics Subject Classification ID

Entropy and other invariants (28D20) Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25) Dimension theory of smooth dynamical systems (37C45)

Related Items (19)

Hyperbolic sets that are not contained in a locally maximal one ⋮ Non-hyperbolic behavior of geodesic flows of rank 1 surfaces ⋮ On Bowen's entropy inequality and almost specification for flows ⋮ Quasi-multiplicativity of typical cocycles ⋮ Exceptional sets for nonuniformly hyperbolic diffeomorphisms ⋮ On the ergodicity of geodesic flows on surfaces without focal points ⋮ A remark on the phase transition for the geodesic flow of a rank one surface of nonpositive curvature ⋮ Some rigidity theorems for Anosov geodesic flows in manifolds of finite volume ⋮ Properties of equilibrium states for geodesic flows over manifolds without focal points ⋮ Nonlocally maximal and premaximal hyperbolic sets ⋮ Entropy spectrum of Lyapunov exponents for nonhyperbolic step skew-products and elliptic cocycles ⋮ Phase transitions for the geodesic flow of a rank one surface with nonpositive curvature ⋮ Unique equilibrium states for geodesic flows in nonpositive curvature ⋮ On the ergodicity of geodesic flows on surfaces of nonpositive curvature ⋮ On the Lagrange and Markov dynamical spectra for Anosov flows in dimension 3 ⋮ Unique equilibrium states, large deviations and Lyapunov spectra for the Katok map ⋮ Multifractal analysis of geodesic flows on surfaces without focal points ⋮ Flexibility of Lyapunov exponents with respect to two classes of measures on the torus ⋮ Dimension theory of flows: a survey

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