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

DOI10.1080/14689367.2023.2229752arXiv2209.11323MaRDI QIDQ6141302

Keith Burns, Dong Chen

Publication date: 22 January 2024

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

Full work available at URL: https://arxiv.org/abs/2209.11323

zbMATH Keywords

phase transitiongeodesic flowequilibrium states

Mathematics Subject Classification ID

Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Geodesic flows in symplectic geometry and contact geometry (53D25) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)

Cites Work

• Lyapunov spectrum for geodesic flows of rank 1 surfaces
• The uniqueness of the measure of maximal entropy for geodesic flows on rank 1 manifolds
• Unique equilibrium states for geodesic flows in nonpositive curvature
• Foundations of Ergodic Theory
• Phase transitions for the geodesic flow of a rank one surface with nonpositive curvature

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