Phase transitions for the geodesic flow of a rank one surface with nonpositive curvature

DOI10.1080/14689367.2021.1933914zbMath1482.37034arXiv2101.01823OpenAlexW3177447051MaRDI QIDQ5164201

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Publication date: 10 November 2021

Published in: Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2101.01823

zbMATH Keywords

geodesic flowLiouville measureequilibrium statesJacobian potential

Mathematics Subject Classification ID

Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)

Related Items

A remark on the phase transition for the geodesic flow of a rank one surface of nonpositive curvature

Cites Work

• Unnamed Item
• Ergodic properties of equilibrium measures for smooth three dimensional flows
• Lyapunov spectrum for geodesic flows of rank 1 surfaces
• Structure of manifolds of nonpositive curvature. I
• The metric entropy of diffeomorphisms. I: Characterization of measures satisfying Pesin's entropy formula
• Continuity properties of entropy
• Axial isometries of manifolds of non-positive curvature
• The uniqueness of the measure of maximal entropy for geodesic flows on rank 1 manifolds
• Intrinsic ergodicity of smooth interval maps
• Unique equilibrium states for geodesic flows in nonpositive curvature
• When is a geodesic flow of Anosov type, I
• Uniqueness of the measure of maximal entropy for geodesic flows on certain manifolds without conjugate points
• Intrinsic ergodicity via obstruction entropies
• Equilibrium states for partially hyperbolic horseshoes
• Rich phase transitions in step skew products
• Destroying horseshoes via heterodimensional cycles: generating bifurcations inside homoclinic classes
• An inequality for the entropy of differentiable maps
• Some systems with unique equilibrium states
• CHARACTERISTIC LYAPUNOV EXPONENTS AND SMOOTH ERGODIC THEORY
• Unique equilibrium states for Bonatti–Viana diffeomorphisms
• Thermodynamic Formalism
• On an example with a non-analytic topological pressure
• Equilibrium states for Mañé diffeomorphisms
• GIBBS MEASURES IN ERGODIC THEORY
• The Physics of Structural Phase Transitions