Central Lyapunov exponent of partially hyperbolic diffeomorphisms of 𝕋³

DOI10.1090/S0002-9939-2014-12063-6zbMath1304.37003arXiv1204.0994OpenAlexW2907849003MaRDI QIDQ3190207

Gabriel Ponce, Ali Tahzibi

Publication date: 16 September 2014

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1204.0994

Mathematics Subject Classification ID

Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Partially hyperbolic systems and dominated splittings (37D30) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25) Research exposition (monographs, survey articles) pertaining to dynamical systems and ergodic theory (37-02)

Related Items (max. 100)

Synchronization properties of random piecewise isometries ⋮ Extended flexibility of Lyapunov exponents for Anosov diffeomorphisms ⋮ Robust minimality of strong foliations for DA diffeomorphisms: 𝑐𝑢-volume expansion and new examples ⋮ New derived from Anosov diffeomorphisms with pathological center foliation ⋮ Disintegrations of non‐hyperbolic ergodic measures along the center foliation of DA maps ⋮ Equilibrium states for partially hyperbolic diffeomorphisms with hyperbolic linear part ⋮ Unstable entropy of partially hyperbolic diffeomorphisms along non-compact subsets ⋮ Measure-theoretical properties of center foliations ⋮ Fast-slow partially hyperbolic systems versus Freidlin-Wentzell random systems ⋮ Pathological center foliation with dimension greater than one ⋮ Accessibility of derived-from-Anosov systems ⋮ Lyapunov exponents and smooth invariant foliations for partially hyperbolic diffeomorphisms on ⋮ Center Lyapunov exponents in partially hyperbolic dynamics ⋮ Flexibility of Lyapunov exponents

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• A non-dynamically coherent example on \(\mathbb T^3\)
• Lectures on partial hyperbolicity and stable ergodicity
• Ergodicity and partial hyperbolicity on the 3-torus
• Removing zero Lyapunov exponents
• Regularity of foliations and Lyapunov exponents of partially hyperbolic dynamics on 3-torus
• Leaf conjugacies on the torus

This page was built for publication: Central Lyapunov exponent of partially hyperbolic diffeomorphisms of 𝕋³