The problem of recurrence for Lorentz processes

DOI10.1007/BF01209329zbMath0573.60095OpenAlexW2051388946MaRDI QIDQ1062691

András Krámli, Domokos Szász

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1007/bf01209329

zbMATH Keywords

reflectionplanar Lorentz processCramér-Edgeworth- Tchebysheff type expansionsperiodic configuration of scatterersstatistical properties of the Lorentz process

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Classical equilibrium statistical mechanics (general) (82B05) Stochastic mechanics (including stochastic electrodynamics) (81P20)

Related Items

Limit laws and recurrence for the planar Lorentz process with infinite horizon

Cites Work

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• Central limit theorem for the Lorentz process via perturbation theory
• Markov partitions for dispersed billiards
• Statistical properties of Lorentz gas with periodic configuration of scatterers
• Random walks with internal degrees of freedom