Sets avoided by Brownian motion
Probability
2008-02-03 v1
Abstract
Any fixed cylinder is hit almost surely by a 3-dimensional Brownian motion, but is there a random cylinder that is in the complement? We answer this for cylinders, and then replacing a cylinder with a more general set.
Cite
@article{arxiv.math/9701225,
title = {Sets avoided by Brownian motion},
author = {O. Adelman and Krzysztof Burdzy and Robin Pemantle},
journal= {arXiv preprint arXiv:math/9701225},
year = {2008}
}