Brownian motion in a ball in the presence of spherical obstacles
classification
🧮 math.CA
math.PR
keywords
ballbrowniancollectionmotionobstaclessphericalavoidableavoiding
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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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