On measure expansive diffeomorphisms

DOI10.1090/S0002-9939-2014-12296-9zbMath1346.37022arXiv1302.2282OpenAlexW2069542441MaRDI QIDQ5496321

Maria Jose Pacifico, José L. Vieitez

Publication date: 30 January 2015

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1302.2282

zbMATH Keywords

measure preservationmaps between manifoldsno-measure preservation

Mathematics Subject Classification ID

Dynamical aspects of measure-preserving transformations (37A05) Approximate trajectories (pseudotrajectories, shadowing, etc.) in smooth dynamics (37C50) Homoclinic and heteroclinic orbits for dynamical systems (37C29) Dynamical systems involving smooth mappings and diffeomorphisms (37C05)

Related Items (11)

Unnamed Item ⋮ Continuum-wise expansiveness for generic diffeomorphisms ⋮ Expansive measures versus Lyapunov exponents ⋮ Weak measure expansiveness for partially hyperbolic diffeomorphisms ⋮ Weak measure expansive flows ⋮ Asymptotic measure expansive diffeomorphisms ⋮ New cw-expansive homeomorphisms of surfaces ⋮ Topological stability and pseudo-orbit tracing property for expansive measures ⋮ R-robustly measure expansive homoclinic classes are hyperbolic ⋮ Diffeomorphisms with shadowable measures ⋮ On properties of expansive group actions

Cites Work

• Robustly expansive homoclinic classes are generically hyperbolic
• Entropy-expansiveness and domination for surface diffeomorphisms
• On the ergodicity of partially hyperbolic systems
• Nonabsolutely continuous foliations for an Anosov diffeomorphism
• A horseshoe with positive measure
• Entropy-expansiveness for partially hyperbolic diffeomorphisms
• Expansiveness, hyperbolicity and Hausdorff dimension
• Partial hyperbolicity and homoclinic tangencies
• Robust entropy expansiveness implies generic domination
• Robustly expansive codimension-one homoclinic classes are hyperbolic
• Expansive homeomorphisms of surfaces
• Lyapunov functions and expansive diffeomorphisms on 3D-manifolds
• Robustly expansive homoclinic classes
• Entropy-Expansive Maps
• Unstable Homeomorphisms
• Expansive homeomorphisms of compact surfaces are pseudo-Anosov
• Equilibrium states and the ergodic theory of Anosov diffeomorphisms

This page was built for publication: On measure expansive diffeomorphisms