Convergence of moments for dispersing billiards with cusps

DOI10.1090/conm/698/14033zbMath1415.37011OpenAlexW4249145966MaRDI QIDQ4686894

Péter Bálint, Dmitry Dolgopyat, Nikolai I. Chernov

Publication date: 10 October 2018

Published in: Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/4e19c5f9846ef7d27eba85f5ba88be7f3ac69dd7

zbMATH Keywords

chaoscentral limit theoremcuspsdecay of correlationsconvergence of momentsdispersing billiards

Mathematics Subject Classification ID

Related Items (4)

Cusps in heavy billiards ⋮ On the Mean Square Displacement in Lévy Walks ⋮ Equidistribution for standard pairs in planar dispersing billiard flows ⋮ Refined central limit theorem and infinite density tail of the Lorentz gas from Lévy walk

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Moment bounds for dependent sequences in smooth Banach spaces
• Limit theorems for dispersing billiards with cusps
• New horizons in multidimensional diffusion: The Lorentz gas and the Riemann hypothesis
• Optimal concentration inequalities for dynamical systems
• Limit theorems in the stadium billiard
• Dispersing billiards with cusps: slow decay of correlations
• Improved estimates for correlations in billiards
• Decay of correlations and invariance principles for dispersing billiards with cusps, and related planar billiard flows
• Statistical properties of Lorentz gas with periodic configuration of scatterers
• Billiards and Bernoulli schemes
• Statistical properties of dynamical systems with some hyperbolicity
• Recurrence times and rates of mixing
• Central limit theorem and stable laws for intermittent maps
• Decay of correlations and dispersing billiards.
• Power-law decay and self-similar distributions in stadium-type billiards
• Computation of entropy increase for Lorentz gas and hard disks
• Limit laws and recurrence for the planar Lorentz process with infinite horizon
• Moment bounds and concentration inequalities for slowly mixing dynamical systems
• Convergence of moments for Axiom A and non-uniformly hyperbolic flows
• Diffusion in the Lorentz Gas
• Statistical properties of two-dimensional hyperbolic billiards
• Anomalous current in periodic Lorentz gases with infinite horizon
• Large deviations for nonuniformly hyperbolic systems
• Decay of correlations for slowly mixing flows
• Brownian Brownian motion. I
• ON BILLIARDS CLOSE TO DISPERSING
• A probabilistic approach to intermittency
• Decay of correlations for non-uniformly expanding systems with general return times
• Billiards with polynomial mixing rates
• A FAMILY OF CHAOTIC BILLIARDS WITH VARIABLE MIXING RATES
• Probability

This page was built for publication: Convergence of moments for dispersing billiards with cusps