Quenched linear response for smooth expanding on average cocycles

DOI10.1007/s00220-022-04560-1OpenAlexW4221159947MaRDI QIDQ2696106

Julien Sedro, Davor Dragičević, Paolo Giulietti

Publication date: 6 April 2023

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2112.14984

Mathematics Subject Classification ID

Smooth dynamical systems: general theory (37Cxx) Low-dimensional dynamical systems (37Exx) Random dynamical systems (37Hxx)

Related Items (3)

Quenched limit theorems for expanding on average cocycles ⋮ A vector-valued almost sure invariance principle for random expanding on average cocycles ⋮ Fast Adjoint Algorithm for Linear Responses of Hyperbolic Chaos

Cites Work

• Unnamed Item
• Unnamed Item
• Linear response for intermittent maps
• Robustly invariant sets in fiber contracting bundle flows
• Linear response in the intermittent family: differentiation in a weighted \(C^0\)-norm
• On the susceptibility function of piecewise expanding interval maps
• Differentiation of SRB states
• A spectral approach for quenched limit theorems for random expanding dynamical systems
• On differentiability of SRB states for partially hyperbolic systems
• Exponential decay of correlations for random Lasota-Yorke maps
• Stability of hyperbolic Oseledets splittings for quasi-compact operator cocycles
• Linear response for random dynamical systems
• Smooth Anosov flows: Correlation spectra and stability
• Regularity of characteristic exponents and linear response for transfer operator cocycles
• A vector-valued almost sure invariance principle for random expanding on average cocycles
• Linear response for intermittent maps with summable and nonsummable decay of correlations
• Corrigendum: Linear response formula for piecewise expanding unimodal maps
• A semi-invertible operator Oseledets theorem
• THERMODYNAMIC FORMALISM FOR RANDOM TRANSFORMATIONS REVISITED
• A simple framework to justify linear response theory
• Stochastic stability of invariant subspaces
• Periodic approximation of exceptional Lyapunov exponents for semi-invertible operator cocycles
• Dynamical Zeta Functions and Dynamical Determinants for Hyperbolic Maps
• Nonconventional Limit Theorems and Random Dynamics
• A regularity result for fixed points, with applications to linear response
• Linear response for smooth deformations of generic nonuniformly hyperbolic unimodal maps
• Quadratic response of random and deterministic dynamical systems
• Linear response, or else
• A linear response for dynamical systems with additive noise
• Stability and approximation of random invariant densities for Lasota–Yorke map cocycles
• Statistical stability and linear response for random hyperbolic dynamics
• Differentiability of thermodynamical quantities in non uniformly expanding dynamics

This page was built for publication: Quenched linear response for smooth expanding on average cocycles