Lorentz Process with shrinking holes in a wall
Date
2018
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
arXiv ; Cornell University
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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.
Description
Scholarly article / OA (arXiv PDF)
Keywords
Mathematics - Dynamical Systems
Citation
Nandori, P., & Szasz, D. (2018). Lorentz Process with shrinking holes in a wall. https://doi.org/10.1063/1.4717521