The probability that Brownian motion almost covers a line
Probability
2015-06-26 v1
Abstract
Lower and upper estimates are given for the probability that the epsilon-enlargement of planar Brownian motion to time 1 (the epsilon sausage) contains a unit line segment. The estimates imply that Brownian motion to time 1 itself contains no line segment.
Keywords
Cite
@article{arxiv.math/9701228,
title = {The probability that Brownian motion almost covers a line},
author = {Robin Pemantle},
journal= {arXiv preprint arXiv:math/9701228},
year = {2015}
}