Hölder foliations, revisited

DOI10.3934/jmd.2012.6.79zbMath1259.37024arXiv1112.2646OpenAlexW2963224386MaRDI QIDQ428930

Amie Wilkinson, Michael Shub, Charles C. Pugh

Publication date: 25 June 2012

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

Full work available at URL: https://arxiv.org/abs/1112.2646

zbMATH Keywords

normal hyperbolicityinvariant foliationslaminationsdynamical coherenceHölder regularity of foliationsleaf conjugacyPartial hyperbolicityplaque expansive

Mathematics Subject Classification ID

Partially hyperbolic systems and dominated splittings (37D30)

Related Items (26)

Arnold diffusion in a priori chaotic symplectic maps ⋮ \(C^r\)-density of (non-uniform) hyperbolicity in partially hyperbolic symplectic diffeomorphisms ⋮ \(C^r\)-prevalence of stable ergodicity for a class of partially hyperbolic systems ⋮ On bundles that admit fiberwise hyperbolic dynamics ⋮ Sternberg linearization theorem for skew products ⋮ Local rigidity of higher rank homogeneous abelian actions: a complete solution via the geometric method ⋮ Global stability of discretized Anosov flows ⋮ Invariant spectral foliations with applications to model order reduction and synthesis ⋮ Open sets of partially hyperbolic skew products having a unique SRB measure ⋮ Robust tangencies of large codimension ⋮ Hyperbolic graphs: Critical regularity and box dimension ⋮ \(C^1\) density of stable ergodicity ⋮ Robustly topological mixing of Kan's map ⋮ Attractors and skew products ⋮ On the rigidity of Weyl chamber flows and Schur multipliers as topological groups ⋮ On local constancy of topological entropy for certain partially hyperbolic diffeomorphisms ⋮ Non-uniformly hyperbolic diffeomorphisms derived from the standard map ⋮ Compact dynamical foliations ⋮ Center specification property and entropy for partially hyperbolic diffeomorphisms ⋮ -openness of non-uniform hyperbolic diffeomorphisms with bounded -norm ⋮ On the stable ergodicity of Berger–Carrasco’s example ⋮ Pathology and asymmetry: centralizer rigidity for partially hyperbolic diffeomorphisms ⋮ Extremal norms for fiber-bunched cocycles ⋮ Existence and regularity of invariant graphs for cocycles in bundles: partial hyperbolicity case ⋮ Boundary-preserving mappings of a manifold with intermingling basins of components of the attractor, one of which is open ⋮ Absolute continuity, Lyapunov exponents, and rigidity II: systems with compact center leaves

This page was built for publication: Hölder foliations, revisited