Brownian motion in a ball in the presence of spherical obstacles

Details Brownian motion in a ball in the presence of spherical obstacles Brownian motion in a ball in the presence of spherical obstacles

2009-06-18

arxiv.org/abs/0906.3481v1

Mathematics

Classical Analysis and ODEs

9 pages

Scientific paper

We study the problem of when a Brownian motion in the unit ball has a
positive probability of avoiding a countable collection of spherical obstacles.
We give a necessary and sufficient integral condition for such a collection to
be avoidable.

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