Differentiation of SRB states: Correction and complements
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Publication:1400905
DOI10.1007/s00220-002-0779-zzbMath1019.37014OpenAlexW2035275259MaRDI QIDQ1400905
Publication date: 17 August 2003
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00220-002-0779-z
derivativeSRB measurenonequilibrium statistical mechanicsOnsager reciprocity relationsfluctuation-dissipation formula
Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20)
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Linear response function for coupled hyperbolic attractors ⋮ Space-Split Algorithm for Sensitivity Analysis of Discrete Chaotic Systems With Multidimensional Unstable Manifolds ⋮ Differentiating potential functions of SRB measures on hyperbolic attractors ⋮ Efficient Computation of Linear Response of Chaotic Attractors with One-Dimensional Unstable Manifolds ⋮ Linear response, susceptibility and resonances in chaotic toy models ⋮ Regularity of characteristic exponents and linear response for transfer operator cocycles ⋮ Rigorous justification for the space–split sensitivity algorithm to compute linear response in Anosov systems ⋮ Linear and fractional response for the SRB measure of smooth hyperbolic attractors and discontinuous observables ⋮ Fast Adjoint Algorithm for Linear Responses of Hyperbolic Chaos ⋮ Recursive divergence formulas for perturbing unstable transfer operators and physical measures ⋮ Response theory for equilibrium and non-equilibrium statistical mechanics: Causality and generalized Kramers-Kronig relations ⋮ Sensitivity analysis on chaotic dynamical systems by finite difference non-intrusive least squares shadowing (FD-NILSS) ⋮ On the susceptibility function of piecewise expanding interval maps ⋮ Whitney-Hölder continuity of the SRB measure for transversal families of smooth unimodal maps ⋮ A regularity result for fixed points, with applications to linear response ⋮ Linear response theory for diffeomorphisms with tangencies of stable and unstable manifolds—a contribution to the Gallavotti–Cohen chaotic hypothesis ⋮ Differentiating densities on smooth manifolds ⋮ Approximating Linear Response by Nonintrusive Shadowing Algorithms ⋮ Computational assessment of smooth and rough parameter dependence of statistics in chaotic dynamical systems ⋮ Fluctuation theorem, nonlinear response, and the regularity of time reversal symmetry ⋮ A Trajectory-Driven Algorithm for Differentiating SRB Measures on Unstable Manifolds
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