Spectral gap and quantitative statistical stability for systems with contracting fibers and Lorenz-like maps

DOI10.3934/dcds.2020079zbMath1432.37046arXiv1507.08191OpenAlexW3098366600MaRDI QIDQ2301686

Rafael Lucena, Stefano Galatolo

Publication date: 25 February 2020

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1507.08191

zbMATH Keywords

stabilitystatistical propertiesspectral gaptransfer operatorLorenz-like

Mathematics Subject Classification ID

Ergodicity, mixing, rates of mixing (37A25) 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) Dynamical systems with singularities (billiards, etc.) (37C83)

Related Items (13)

Anosov diffeomorphisms, anisotropic BV spaces and regularity of foliations ⋮ Variance continuity for Lorenz flows ⋮ Stochastic and statistical stability of the classical Lorenz flow under perturbations modeling anthropogenic type forcing ⋮ Random‐like properties of chaotic forcing ⋮ Globally coupled Anosov diffeomorphisms: statistical properties ⋮ Quantitative statistical stability for equilibrium states of piecewise partially hyperbolic maps ⋮ Stochastic stability of the classical Lorenz flow under impulsive type forcing ⋮ Hölder regularity and exponential decay of correlations for a class of piecewise partially hyperbolic maps ⋮ Regularity of SRB entropy for geometric Lorenz attractors ⋮ Quadratic response and speed of convergence of invariant measures in the zero-noise limit ⋮ Extensions with shrinking fibers ⋮ On the statistical stability of Lorenz attractors with a stable foliation ⋮ Ruelle-Pollicott resonances of stochastic systems in reduced state space. Part I: Theory

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