Non-hyperbolic ergodic measures for non-hyperbolic homoclinic classes

DOI10.1017/S0143385708000849zbMath1184.37010arXiv0804.1796OpenAlexW2962788811MaRDI QIDQ3645385

Lorenzo J. Dıaz, A. S. Gorodetskii

Publication date: 18 November 2009

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

Full work available at URL: https://arxiv.org/abs/0804.1796

Mathematics Subject Classification ID

Ergodic theorems, spectral theory, Markov operators (37A30)

Related Items (22)

Robust existence of nonhyperbolic ergodic measures with positive entropy and full support ⋮ Robust criterion for the existence of nonhyperbolic ergodic measures ⋮ Robust vanishing of all Lyapunov exponents for iterated function systems ⋮ A $C^2$ generic trichotomy for diffeomorphisms: Hyperbolicity or zero Lyapunov exponents or the $C^1$ creation of homoclinic bifurcations ⋮ Variational principle for nonhyperbolic ergodic measures: skew products and elliptic cocycles ⋮ Invariance principle and rigidity of high entropy measures ⋮ Topological and ergodic aspects of partially hyperbolic diffeomorphisms and nonhyperbolic step skew products ⋮ Ergodic measures with multi-zero Lyapunov exponents inside homoclinic classes ⋮ Nonhyperbolic step skew-products: ergodic approximation ⋮ Nonhyperbolic dynamics by mingling, blending, and flip-flopping ⋮ Non-hyperbolic ergodic measures with the full support and positive entropy ⋮ Multichaos from Quasiperiodicity ⋮ Nonuniform hyperbolicity for \(C^{1}\)-generic diffeomorphisms ⋮ Path connectedness and entropy density of the space of hyperbolic ergodic measures ⋮ Attractors and skew products ⋮ Circle diffeomorphisms forced by expanding circle maps ⋮ Intermediate Lyapunov exponents for systems with periodic orbit gluing property ⋮ Equilibrium states for partially hyperbolic horseshoes ⋮ Hyperbolicity versus non-hyperbolic ergodic measures inside homoclinic classes ⋮ On the existence of non-hyperbolic ergodic measures as the limit of periodic measures ⋮ Fast growth of the number of periodic points arising from heterodimensional connections ⋮ Center Lyapunov exponents in partially hyperbolic dynamics

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