Billiards with Markovian reflection laws
Probability
2018-11-07 v1
Abstract
We construct a class of reflection laws for billiard processes in the unit interval whose stationary distribution for the billiard position and its velocity is the product of the uniform distribution and the standard normal distribution. These billiard processes have Markovian reflection laws, meaning their velocity is constant between reflections but changes in a Markovian way at reflection times.
Keywords
Cite
@article{arxiv.1811.02529,
title = {Billiards with Markovian reflection laws},
author = {Clayton Barnes and Krzysztof Burdzy and Carl-Erik Gauthier},
journal= {arXiv preprint arXiv:1811.02529},
year = {2018}
}
Comments
33 pages