Quantitative statistical stability, speed of convergence to equilibrium and partially hyperbolic skew products

DOI10.5802/jep.73zbMath1402.37030arXiv1702.05996OpenAlexW2590434444WikidataQ129892719 ScholiaQ129892719MaRDI QIDQ4559766

Stefano Galatolo

Publication date: 4 December 2018

Published in: Journal de l’École polytechnique — Mathématiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1702.05996

zbMATH Keywords

convergence to equilibriumtransfer operatorskew productdecay of correlationsstatistical stabilityDiophantine typeHölder response

Mathematics Subject Classification ID

Ergodicity, mixing, rates of mixing (37A25) Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Partially hyperbolic systems and dominated splittings (37D30) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30) Dynamical systems involving one-parameter continuous families of measure-preserving transformations (37A10)

Related Items (14)

Optimal linear response for Markov Hilbert-Schmidt integral operators and stochastic dynamical systems ⋮ Anosov diffeomorphisms, anisotropic BV spaces and regularity of foliations ⋮ Random‐like properties of chaotic forcing ⋮ Quantitative statistical stability for equilibrium states of piecewise partially hyperbolic maps ⋮ A gentle introduction to anisotropic Banach spaces ⋮ On the smooth dependence of SRB measures for partially hyperbolic systems ⋮ A linear response for dynamical systems with additive noise ⋮ Hölder regularity and exponential decay of correlations for a class of piecewise partially hyperbolic maps ⋮ Quadratic response and speed of convergence of invariant measures in the zero-noise limit ⋮ Spectral gap and quantitative statistical stability for systems with contracting fibers and Lorenz-like maps ⋮ Quadratic response of random and deterministic dynamical systems ⋮ Quantitative statistical stability and linear response for irrational rotations and diffeomorphisms of the circle ⋮ Extensions with shrinking fibers ⋮ Arnold maps with noise: differentiability and non-monotonicity of the rotation number

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