Planar Lorentz process in a random scenery

DOI10.1214/08-AIHP191zbMath1189.37045MaRDI QIDQ731738

Françoise Pène

Publication date: 8 October 2009

Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/78046

zbMATH Keywords

finite horizonlimit theoremrandom scenerybilliardinfinite measureLorentz process

Mathematics Subject Classification ID

Related Items (14)

Mixing properties of generalized \(T,T^{-1}\) transformations ⋮ Krickeberg mixing for \(\mathbb{Z}\)-extensions of Gibbs Markov semiflows ⋮ Flexibility of statistical properties for smooth systems satisfying the central limit theorem ⋮ Sharp error term in local limit theorems and mixing for Lorentz gases with infinite horizon ⋮ Local limit theorem for randomly deforming billiards ⋮ On the quenched functional CLT in random sceneries ⋮ Potential kernel, hitting probabilities and distributional asymptotics ⋮ Local limit theorems for suspended semiflows ⋮ Self-intersections of trajectories of the Lorentz process ⋮ Back to balls in billiards ⋮ Number of distinct sites visited by a random walk with internal states ⋮ Mixing in infinite measure for \(\mathbb Z^d\)-extensions, application to the periodic Sinai billiard ⋮ On mixing and the local central limit theorem for hyperbolic flows ⋮ Nonequilibrium Density Profiles in Lorentz Tubes with Thermostated Boundaries

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