A criterion for zero averages and full support of ergodic measures

zbMath1500.37003arXiv1609.07764MaRDI QIDQ5384101

Jairo Bochi, Christian Bonatti, Lorenzo J. Dıaz

Publication date: 20 June 2019

Full work available at URL: https://arxiv.org/abs/1609.07764

zbMATH Keywords

transitivityBirkhoff averageLyapunov exponentpartial hyperbolicityergodic measurenonhyperbolic measure

Mathematics Subject Classification ID

Ergodic theorems, spectral theory, Markov operators (37A30) Partially hyperbolic systems and dominated splittings (37D30) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25)

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Robust existence of nonhyperbolic ergodic measures with positive entropy and full support ⋮ 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 ⋮ NON-HYPERBOLIC ERGODIC MEASURES AND HORSESHOES IN PARTIALLY HYPERBOLIC HOMOCLINIC CLASSES ⋮ Weak* and entropy approximation of nonhyperbolic measures: a geometrical approach ⋮ On the existence of non-hyperbolic ergodic measures as the limit of periodic measures

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