Lorentz Process with shrinking holes in a wall
Dynamical Systems
2016-03-25 v2
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.
Keywords
Cite
@article{arxiv.1111.6193,
title = {Lorentz Process with shrinking holes in a wall},
author = {Peter Nandori and Domokos Szasz},
journal= {arXiv preprint arXiv:1111.6193},
year = {2016}
}