An extension of the ergodic closing lemma

DOI10.1017/S0143385709000273zbMath1203.37018WikidataQ124842788 ScholiaQ124842788MaRDI QIDQ3569987

Shuhei Hayashi

Publication date: 22 June 2010

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

zbMATH Keywords

Lyapunov exponentergodic closing lemma\(C^1\) small perturbationnon-atomic ergodic measure

Mathematics Subject Classification ID

Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Ergodic theorems, spectral theory, Markov operators (37A30)

Related Items

AC¹closing lemma for nonuniformly partially hyperbolic diffeomorphisms of classC^1+α, A $C^2$ generic trichotomy for diffeomorphisms: Hyperbolicity or zero Lyapunov exponents or the $C^1$ creation of homoclinic bifurcations, On R-robustly entropy-expansive diffeomorphisms, Sinks with relatively large immediate basins and a refinement of Mañé’sC¹generic dichotomy, A forward ergodic closing lemma and the entropy conjecture for nonsingular endomorphisms away from tangencies

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