Sharp estimates for Brownian non-intersection probabilities
Probability
2007-05-23 v1 Mathematical Physics
math.MP
Abstract
This paper gives an accessible (but still technical) self-contained proof to the fact that the intersection probabilities for planar Brownian motion are given in terms of the intersection exponents, up to a bounded multiplicative error, and some closely related results. While most of the results are already known, the proofs are somewhat new, and the paper can serve as a source for the estimates used in our paper on the analyticity of the Brownian intersection exponents (math.PR/0005295).
Keywords
Cite
@article{arxiv.math/0101247,
title = {Sharp estimates for Brownian non-intersection probabilities},
author = {Greg Lawler and Oded Schramm and Wendelin Werner},
journal= {arXiv preprint arXiv:math/0101247},
year = {2007}
}
Comments
22 pages