Robust existence of nonhyperbolic ergodic measures with positive entropy and full support

DOI10.2422/2036-2145.202001_014zbMath1492.37040arXiv1810.02384OpenAlexW2894868177WikidataQ114041598 ScholiaQ114041598MaRDI QIDQ5037190

Dominik Kwietniak, Christian Bonatti, Lorenzo J. Dıaz

Publication date: 28 February 2022

Published in: ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.02384

zbMATH Keywords

entropycompact metric spacenonhyperbolic ergodic measures

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Dynamical aspects of measure-preserving transformations (37A05) Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Partially hyperbolic systems and dominated splittings (37D30)

Related Items (3)

Variational principle for nonhyperbolic ergodic measures: skew products and elliptic cocycles ⋮ Ergodic measures with multi-zero Lyapunov exponents inside homoclinic classes ⋮ Non-hyperbolic ergodic measures with the full support and positive entropy

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