Brownian motion in a ball in the presence of spherical obstacles

O’Donovan, Julie

doi:10.1090/S0002-9939-09-10174-0

Brownian motion in a ball in the presence of spherical obstacles
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Proc. Amer. Math. Soc. 138 (2010), 1711-1720 Request permission

Abstract:

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 a regularly spaced collection to be avoidable.

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