Gibbs measures on negatively curved manifolds

DOI10.1023/A:1022107301618zbMath1020.37006OpenAlexW2345930787MaRDI QIDQ1812050

Yves Coudène

Publication date: 18 June 2003

Published in: Journal of Dynamical and Control Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1022107301618

zbMATH Keywords

geodesic flowFuchsian groupGibbs measureergodic theory

Mathematics Subject Classification ID

Fuchsian groups and their generalizations (group-theoretic aspects) (20H10) 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)

Related Items (8)

Koszul information geometry and Souriau geometric temperature/capacity of Lie group thermodynamics ⋮ A Fatou theorem for conformal densities with applications to Galois coverings in negative curvature ⋮ Entropy in the cusp and phase transitions for geodesic flows ⋮ Finiteness of Gibbs measures on noncompact manifolds with pinched negative curvature ⋮ Generic measures for hyperbolic flows on non-compact spaces ⋮ A Fatou theorem for \(F\)-harmonic functions ⋮ Escape of mass and entropy for geodesic flows ⋮ Logarithm laws for equilibrium states in negative curvature

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