NON-HYPERBOLIC ERGODIC MEASURES AND HORSESHOES IN PARTIALLY HYPERBOLIC HOMOCLINIC CLASSES

DOI10.1017/S1474748018000579zbMath1451.37044arXiv1803.06572OpenAlexW2962737606MaRDI QIDQ5116296

Jinhua Zhang, Da-Wei Yang

Publication date: 24 August 2020

Published in: Journal of the Institute of Mathematics of Jussieu (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.06572

zbMATH Keywords

entropypartial hyperbolicityergodic measureperiodic measureblender horseshoe

Mathematics Subject Classification ID

Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Topological entropy (37B40) Partially hyperbolic systems and dominated splittings (37D30) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25)

Related Items (6)

High pointwise emergence and Katok’s conjecture for symbolic systems with non-uniform structure ⋮ Variational principle for nonhyperbolic ergodic measures: skew products and elliptic cocycles ⋮ Mingled hyperbolicities: ergodic properties and bifurcation phenomena (an approach using concavity) ⋮ Nonhyperbolic dynamics by mingling, blending, and flip-flopping ⋮ Thomae's function and the space of ergodic measures ⋮ Topological entropy and Hausdorff dimension of irregular sets for non-hyperbolic dynamical systems

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