Generic measures for hyperbolic flows on non-compact spaces

DOI10.1007/s11856-010-0076-zzbMath1229.53078arXiv0707.2515OpenAlexW2137475029MaRDI QIDQ607851

Yves Coudène, Barbara Schapira

Publication date: 6 December 2010

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0707.2515

zbMATH Keywords

geodesic flowergodic measure\(G_{\sigma}\)-subset

Mathematics Subject Classification ID

Applications of global differential geometry to the sciences (53C80) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)

Related Items (11)

On density of ergodic measures and generic points ⋮ Escape of entropy for countable Markov shifts ⋮ Ergodic optimization and zero temperature limits in negative curvature ⋮ Lyapunov spectrum for geodesic flows of rank 1 surfaces ⋮ Invariant measures for frequently hypercyclic operators ⋮ Sensitivity and historic behavior for continuous maps on Baire metric spaces ⋮ Entropy-approachability for transitive Markov shifts over infinite alphabet ⋮ Generic measures for geodesic flows on nonpositively curved manifolds ⋮ Invariant measures for typical continuous maps on manifolds ⋮ Geodesic flow of nonstrictly convex Hilbert geometries ⋮ The space of invariant measures for countable Markov shifts

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Structure of manifolds of nonpositive curvature. I
• Amenable ergodic group actions and an application to Poisson boundaries of random walks
• Gibbs measures on negatively curved manifolds
• Generic properties of invariant measures for Axiom A diffeomorphisms
• Geodesic flows on negatively curved manifolds. I
• Visibility manifolds
• TOPOLOGICAL DYNAMICS AND LOCAL PRODUCT STRUCTURE
• On the Space of Invariant Measures for Hyperbolic Flows

This page was built for publication: Generic measures for hyperbolic flows on non-compact spaces