Analytical techniques for linear response formula of equilibrium states
From MaRDI portal
Publication:5218165
DOI10.1063/1.5122810zbMath1433.37034OpenAlexW3001648314WikidataQ89512482 ScholiaQ89512482MaRDI QIDQ5218165
Publication date: 28 February 2020
Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.5122810
Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Linear response for intermittent maps
- A functional analytic approach to perturbations of the Lorentz gas
- Whitney-Hölder continuity of the SRB measure for transversal families of smooth unimodal maps
- Non-uniform specification and large deviations for weak Gibbs measures
- Backward inducing and exponential decay of correlations for partially hyperbolic attractors.
- Linear response in the intermittent family: differentiation in a weighted \(C^0\)-norm
- Differentiability and analyticity of topological entropy for Anosov and geodesic flows
- Existence, uniqueness and stability of equilibrium states for non-uniformly expanding maps
- Cones and gauges in complex spaces: spectral gaps and complex Perron-Frobenius theory
- Banach spaces for piecewise cone-hyperbolic maps
- Correlation decay and recurrence asymptotics for some robust nonuniformly hyperbolic maps
- The ergodic theory of axiom A flows
- Statistical properties of dynamical systems with some hyperbolicity
- Differentiation of SRB states
- Linear response, and consequences for differentiability of statistical quantities and multifractal analysis
- On differentiability of SRB states for partially hyperbolic systems
- Decay of correlations
- Propriétés ergodiques des mesures de Sinaï
- Good Banach spaces for piecewise hyperbolic maps via interpolation
- Anisotropic Hölder and Sobolev spaces for hyperbolic diffeomorphisms
- Equilibrium states for non-uniformly expanding maps: decay of correlations and strong stability
- Smooth Anosov flows: Correlation spectra and stability
- Hausdorff dimension for non-hyperbolic repellers. II: DA diffeomorphisms
- Differentiating the absolutely continuous invariant measure of an interval map \(f\) with respect to \(f\)
- Linear response for intermittent maps with summable and nonsummable decay of correlations
- Statistical properties of the maximal entropy measure for partially hyperbolic attractors
- Banach spaces adapted to Anosov systems
- Stability of statistical properties in two-dimensional piecewise hyperbolic maps
- A review of linear response theory for general differentiable dynamical systems
- Analyticity of the SRB measure for holomorphic families of quadratic-like Collet-Eckmann maps
- Differentiability Properties of the Pressure of a Continuous Transformation on a Compact Metric Space
- Anosov parameter values for the triple linkage and a physical system with a uniformly chaotic attractor
- Fast mixing for attractors with a mostly contracting central direction
- Ruelle Perron Frobenius spectrum for Anosov maps
- Application of hyperbolic dynamics to physics: Some problems and conjectures
- Linear response for smooth deformations of generic nonuniformly hyperbolic unimodal maps
- Thermodynamic formalism for countable Markov shifts
- Linear response formula for piecewise expanding unimodal maps
- GIBBS MEASURES IN ERGODIC THEORY
- Equilibrium states and the ergodic theory of Anosov diffeomorphisms
- Differentiability of thermodynamical quantities in non uniformly expanding dynamics
This page was built for publication: Analytical techniques for linear response formula of equilibrium states
