The linear request problem

DOI10.1090/proc/14026zbMath1386.37020arXiv1606.02428OpenAlexW2963751927MaRDI QIDQ4636749

Benoît R. Kloeckner

Publication date: 20 April 2018

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1606.02428

zbMATH Keywords

transfer operatorfirst-order perturbationphysical measure

Mathematics Subject Classification ID

Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems (37C15) Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Dynamical systems involving one-parameter continuous families of measure-preserving transformations (37A10)

Related Items (8)

Optimal linear response for Markov Hilbert-Schmidt integral operators and stochastic dynamical systems ⋮ Linear response for a family of self-consistent transfer operators ⋮ Self-consistent transfer operators: invariant measures, convergence to equilibrium, linear response and control of the statistical properties ⋮ Piecewise monotonic maps with a common piecewise constant stationary density ⋮ Rigorous computation of linear response for intermittent maps ⋮ A linear response for dynamical systems with additive noise ⋮ Optimal linear responses for Markov chains and stochastically perturbed dynamical systems ⋮ Quadratic response of random and deterministic dynamical systems

Cites Work

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• Spectral geometry: direct and inverse problems. With an appendix by G. Besson
• Linear and quasilinear elliptic equations
• A review of linear response theory for general differentiable dynamical systems
• Central limit theorem for generalized Weierstrass functions
• Linear response for smooth deformations of generic nonuniformly hyperbolic unimodal maps
• Controlling the statistical properties of expanding maps
• On the Volume Elements on a Manifold

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