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Asymptotic of the number of obstacles visited by the planar Lorentz process

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Publication:1020613
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DOI10.3934/DCDS.2009.24.567zbMath1175.37043OpenAlexW2021188148MaRDI QIDQ1020613

Françoise Pène

Publication date: 29 May 2009

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2009.24.567


zbMATH Keywords

billiardsasymptotic behaviourconvex obstaclesplanar Lorentz process


Mathematics Subject Classification ID

Limit theorems in probability theory (60F99)


Related Items (5)

Local limit theorem for randomly deforming billiards ⋮ Potential kernel, hitting probabilities and distributional asymptotics ⋮ 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







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