Central limit theorem for the Lorentz process via perturbation theory

DOI10.1007/BF01206019zbMath0529.60074OpenAlexW2023025526MaRDI QIDQ787590

András Krámli, Domokos Szász

Publication date: 1983

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01206019

zbMATH Keywords

perturbation theorySinai billiardPerron-Frobenius theoremLorentz process

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Sums of independent random variables; random walks (60G50) Interacting random processes; statistical mechanics type models; percolation theory (60K35)

Related Items (4)

Statistical properties of two-dimensional periodic Lorentz gas with infinite horizon ⋮ Random walks with internal degrees of freedom ⋮ The problem of recurrence for Lorentz processes ⋮ Random walks with internal degrees of freedom. III: Stationary probabilities

Cites Work

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• Markov partitions for dispersed billiards
• Statistical properties of Lorentz gas with periodic configuration of scatterers
• Eine Verallgemeinerung des zentralen Grenzwertsatzes
• Random walks with internal degrees of freedom

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