Quadratic response of random and deterministic dynamical systems

DOI10.1063/1.5122658zbMath1434.37032arXiv1908.00025OpenAlexW3102175308WikidataQ89953237 ScholiaQ89953237MaRDI QIDQ5220489

Stefano Galatolo, Julien Sedro

Publication date: 26 March 2020

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1908.00025

zbMATH Keywords

statistical propertiessmall perturbationsArnold mapsdeterministic expanding map

Mathematics Subject Classification ID

Dynamical systems and their relations with probability theory and stochastic processes (37A50) Generation, random and stochastic difference and differential equations (37H10) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30) Dynamical aspects of statistical mechanics (37A60)

Related Items (13)

Statistical stability and linear response for random hyperbolic dynamics ⋮ Optimal linear response for Markov Hilbert-Schmidt integral operators and stochastic dynamical systems ⋮ Linear response for a family of self-consistent transfer operators ⋮ Regularity of characteristic exponents and linear response for transfer operator cocycles ⋮ Self-consistent transfer operators: invariant measures, convergence to equilibrium, linear response and control of the statistical properties ⋮ Differentiability of the diffusion coefficient for a family of intermittent maps ⋮ Quenched limit theorems for expanding on average cocycles ⋮ Rigorous computation of linear response for intermittent maps ⋮ Quenched linear response for smooth expanding on average cocycles ⋮ Quadratic response and speed of convergence of invariant measures in the zero-noise limit ⋮ Quantitative statistical stability and linear response for irrational rotations and diffeomorphisms of the circle ⋮ On the regularity and approximation of invariant densities for random continued fractions ⋮ How does noise induce order?

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