Minimal yet measurable foliations

DOI10.3934/JMD.2014.8.93zbMath1351.37139OpenAlexW2313351433MaRDI QIDQ478793

Gabriel Ponce, Régis Varão, Ali Tahzibi

Publication date: 4 December 2014

Published in: Journal of Modern Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/jmd.2014.8.93

zbMATH Keywords

Lyapunov exponentsdisintegrationpartial hyperbolicitymeasurable partitionsminimal foliations

Mathematics Subject Classification ID

Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Dynamics induced by group actions other than (mathbb{Z}) and (mathbb{R}), and (mathbb{C}) (37C85) Invariant manifold theory for dynamical systems (37D10) Partially hyperbolic systems and dominated splittings (37D30) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25)

Related Items (12)

New derived from Anosov diffeomorphisms with pathological center foliation ⋮ Disintegrations of non‐hyperbolic ergodic measures along the center foliation of DA maps ⋮ Conditions for atomic disintegration to be monoatomic ⋮ Equilibrium states for partially hyperbolic diffeomorphisms with hyperbolic linear part ⋮ Measure-theoretical properties of center foliations ⋮ On the Bernoulli property for certain partially hyperbolic diffeomorphisms ⋮ Fast-slow partially hyperbolic systems versus Freidlin-Wentzell random systems ⋮ Pathological center foliation with dimension greater than one ⋮ Rigidity for partially hyperbolic diffeomorphisms ⋮ Uniqueness and continuity of equilibrium states for DA-diffeomorphisms ⋮ Accessibility of derived-from-Anosov systems ⋮ Center Lyapunov exponents in partially hyperbolic dynamics

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