The probability that Brownian motion almost covers a line
arXiv:math/9701228 · doi:10.1016/S0246-0203(97)80119-7
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.