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Lorentz process with shrinking holes in a wall.

Authors
Type
Published Article
Journal
Chaos An Interdisciplinary Journal of Nonlinear Science
1089-7682
Publisher
American Institute of Physics
Publication Date
Volume
22
Issue
2
Pages
26115–26115
Identifiers
DOI: 10.1063/1.4717521
PMID: 22757574
Source
Medline
License
Unknown

Abstract

We ascertain the diffusively scaled limit of a periodic Lorentz process in a strip with an almost reflecting wall at the origin. Here, almost reflecting means that the wall contains a small hole waning in time. The limiting process is a quasi-reflected Brownian motion, which is Markovian, but not strong Markovian. Local time results for the periodic Lorentz process, having independent interest, are also found and used.

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