Sharp estimates for Brownian non-intersection probabilities

Details Sharp estimates for Brownian non-intersection probabilities Sharp estimates for Brownian non-intersection probabilities

2001-01-30

arxiv.org/abs/math/0101247v1

In and out of equilibrium (Mambucaba, 2000), 113--131, Birkh\"auser, Boston, MA, 2002

Mathematics

Probability

22 pages

Scientific paper

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).

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