Affordable Access

deepdyve-link deepdyve-link
Publisher Website

Lorentz process with shrinking holes in a wall.

Authors
  • Nándori, Péter
  • Szász, Domokos
Type
Published Article
Journal
Chaos An Interdisciplinary Journal of Nonlinear Science
Publisher
American Institute of Physics
Publication Date
Jun 01, 2012
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.

Report this publication

Statistics

Seen <100 times