A forward ergodic closing lemma and the entropy conjecture for nonsingular endomorphisms away from tangencies

DOI10.3934/dcds.2020114zbMath1441.37026OpenAlexW3004407433MaRDI QIDQ1988313

Shuhei Hayashi

Publication date: 16 April 2020

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2020114

zbMATH Keywords

entropy conjecturehomoclinic tangenciesergodic closing lemmaentropy expansivenessupper semicontinuity of entropy

Mathematics Subject Classification ID

Dynamical aspects of measure-preserving transformations (37A05) Ergodicity, mixing, rates of mixing (37A25) Partially hyperbolic systems and dominated splittings (37D30) Bifurcations connected with nontransversal intersection in dynamical systems (37G25) Dynamical systems involving one-parameter continuous families of measure-preserving transformations (37A10) Dynamical systems involving smooth mappings and diffeomorphisms (37C05)

Related Items (1)

Erratum and addendum to: ``A forward ergodic closing lemma and the entropy conjecture for nonsingular endomorphisms away from tangencies

Cites Work

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