Linear response due to singularities

Dynamical aspects of measure-preserving transformations (37A05) Dynamical systems involving maps of the interval (37E05) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30)

Cites Work

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Linear response for intermittent maps
Whitney-Hölder continuity of the SRB measure for transversal families of smooth unimodal maps
Linear response in the intermittent family: differentiation in a weighted \(C^0\)-norm
Differentiability and analyticity of topological entropy for Anosov and geodesic flows
On the susceptibility function of piecewise expanding interval maps
Stochastic stability in some chaotic dynamical systems
Differentiation of SRB states
Quantitative statistical stability and convergence to equilibrium. An application to maps with indifferent fixed points
Exponential decay of correlations for finite horizon Sinai billiard flows
On differentiability of SRB states for partially hyperbolic systems
Computational assessment of smooth and rough parameter dependence of statistics in chaotic dynamical systems
Quantitative statistical stability and linear response for irrational rotations and diffeomorphisms of the circle
Variance continuity for Lorenz flows
Decay of correlations for maps with uniformly contracting fibers and logarithm law for singular hyperbolic attractors
Smooth Anosov flows: Correlation spectra and stability
Linear response for intermittent maps with summable and nonsummable decay of correlations
LIMIT THEOREMS FOR COUPLED INTERVAL MAPS
Generalized bounded variation and applications to piecewise monotonic transformations
Quantitative statistical stability, speed of convergence to equilibrium and partially hyperbolic skew products
Strong statistical stability of non-uniformly expanding maps
Linear response for smooth deformations of generic nonuniformly hyperbolic unimodal maps
Quadratic response of random and deterministic dynamical systems
Statistical instability for contracting Lorenz flows
On the statistical stability of Lorenz attractors with a stable foliation
Linear and fractional response for the SRB measure of smooth hyperbolic attractors and discontinuous observables
Linear response, or else
Statistical stability of geometric Lorenz attractors
Linear response formula for piecewise expanding unimodal maps
Limit theorems for Markov chains and stochastic properties of dynamical systems by quasi-compactness