A criterion for ergodicity for non-uniformly hyperbolic diffeomorphisms

zbMath1139.37015arXiv0710.2353MaRDI QIDQ928649

M. A. Rodriguez Hertz, Ali Tahzibi, Raúl Ures, Federico Rodriguez Hertz

Publication date: 11 June 2008

Published in: Electronic Research Announcements in Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0710.2353

zbMATH Keywords

nonuniform hyperbolicitypartial hyperbolicitySRB-measure

Mathematics Subject Classification ID

Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Partially hyperbolic systems and dominated splittings (37D30) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25)

Related Items (4)

On the regularization of conservative maps ⋮ Hyperbolic Lyapunov–Perron regular points and smooth invariant measures ⋮ Uniqueness of SRB measures for transitive diffeomorphisms on surfaces ⋮ Existence and genericity problems for dynamical systems with nonzero Lyapunov exponents

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