Hölder regularity and exponential decay of correlations for a class of piecewise partially hyperbolic maps

DOI10.1088/1361-6544/ABA888zbMath1455.37031arXiv1911.06457OpenAlexW2984875861WikidataQ115548090 ScholiaQ115548090MaRDI QIDQ5136552

Ricardo Bioni, Rafael Lucena, Rafael A. Bilbao

Publication date: 26 November 2020

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1911.06457

zbMATH Keywords

spectral gapdecay of correlationsskew productspartially hyperbolic mapmostly expanding map

Mathematics Subject Classification ID

Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Partially hyperbolic systems and dominated splittings (37D30) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30)

Related Items (1)

Quantitative statistical stability for equilibrium states of piecewise partially hyperbolic maps

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• The quest for the ultimate anisotropic Banach space
• Existence, uniqueness and stability of equilibrium states for non-uniformly expanding maps
• Banach spaces for piecewise cone-hyperbolic maps
• Un théorème de la limite locale pour une classe de transformations dilatantes et monotones par morceaux
• Decay of correlations for piecewise expanding maps.
• Decay of correlations
• A gentle introduction to anisotropic Banach spaces
• Good Banach spaces for piecewise hyperbolic maps via interpolation
• Spectral gap and quantitative statistical stability for systems with contracting fibers and Lorenz-like maps
• Disintegration of invariant measures for hyperbolic skew products
• Anisotropic Hölder and Sobolev spaces for hyperbolic diffeomorphisms
• Equilibrium states for non-uniformly expanding maps: decay of correlations and strong stability
• Théorie ergodique pour des classes d'opérations non completement continues
• Statistical properties of the maximal entropy measure for partially hyperbolic attractors
• Lorenz-like flows: exponential decay of correlations for the Poincaré map, logarithm law, quantitative recurrence
• Banach spaces adapted to Anosov systems
• Stability of statistical properties in two-dimensional piecewise hyperbolic maps
• Three-Dimensional Flows
• Generalized bounded variation and applications to piecewise monotonic transformations
• Quantitative statistical stability, speed of convergence to equilibrium and partially hyperbolic skew products
• Extensions with shrinking fibers

This page was built for publication: Hölder regularity and exponential decay of correlations for a class of piecewise partially hyperbolic maps