A stretched exponential bound on time correlations for billiard flows
From MaRDI portal
Publication:996839
DOI10.1007/s10955-007-9293-1zbMath1302.37026OpenAlexW2116690798MaRDI QIDQ996839
Publication date: 19 July 2007
Published in: Journal of Statistical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10955-007-9293-1
Ergodicity, mixing, rates of mixing (37A25) Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Kinetic theory of gases in time-dependent statistical mechanics (82C40)
Related Items
Non-integrability of open billiard flows and Dolgopyat-type estimates, Asymptotic expansion of correlation functions for \({\mathbb{Z}^d}\) covers of hyperbolic flows, Superpolynomial and polynomial mixing for semiflows and flows, Polynomial decay of correlations for flows, including Lorentz gas examples, Exponential decay of correlations for finite horizon Sinai billiard flows, Lorentz gas with thermostatted walls, Stretched-exponential mixing for skew products with discontinuities, New horizons in multidimensional diffusion: The Lorentz gas and the Riemann hypothesis, Martingale approximations and anisotropic Banach spaces with an application to the time-one map of a Lorentz gas, Equidistribution for standard pairs in planar dispersing billiard flows, Generalized Hölder continuity and oscillation functions, Exponential decay of correlations for piecewise cone hyperbolic contact flows, Multidimensional hyperbolic billiards, Nonequilibrium Density Profiles in Lorentz Tubes with Thermostated Boundaries, Decay of correlations and invariance principles for dispersing billiards with cusps, and related planar billiard flows, Book Review: Chaotic billiards, Spectral Properties of Ruelle Transfer Operators for Regular Gibbs Measures and Decay of Correlations for Contact Anosov Flows
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Finite coarse-graining and Chapman-Kolmogorov equation in conservative dynamical systems
- Almost sure invariance principle for nonuniformly hyperbolic systems
- Invariant manifolds, entropy and billiards; smooth maps with singularities. With the collab. of F. Ledrappier and F. Przytycki
- Markov approximations and decay of correlations for Anosov flows
- On decay of correlations in Anosov flows
- Billiards and Bernoulli schemes
- Statistical properties of dynamical systems with some hyperbolicity
- On contact Anosov flows
- Limit theorems and Markov approximations for chaotic dynamical systems
- Decay of correlations and dispersing billiards.
- Steady-state electrical conduction in the periodic Lorentz gas
- Advanced statistical properties of dispersing billiards
- Markov partitions and \(C\)-diffeomorphisms
- Construction of Markov partitions
- Spectrum of the Ruelle operator and exponential decay of correlations for open billiard flows
- Statistical properties of two-dimensional hyperbolic billiards
- Markov Partitions are not Smooth
- Rapid decay of correlations for nonuniformly hyperbolic flows
- Brownian Brownian motion. I
- Perturbed billiard systems II. Bernoulli properties
- Flows, random perturbations and rate of mixing
- Prevalence of rapid mixing in hyperbolic flows
- Exponential decay of correlations for surface semi-flows without finite Markov partitions
- ENTROPY, A COMPLETE METRIC INVARIANT FOR AUTOMORPHISMS OF THE TORUS
- GIBBS MEASURES IN ERGODIC THEORY
- Dynamical systems with elastic reflections
- Markov partitions for two-dimensional hyperbolic billiards
- Equilibrium states and the ergodic theory of Anosov diffeomorphisms
