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Sets avoided by Brownian motion

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arxiv math/9701225 v1 pith:UO77JNPE submitted 1997-01-23 math.PR

Sets avoided by Brownian motion

classification math.PR
keywords cylinderbrownianmotionalmostansweravoidedcomplementcylinders
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Any fixed cylinder is hit almost surely by a 3-dimensional Brownian motion, but is there a random cylinder that is in the complement? We answer this for cylinders, and then replacing a cylinder with a more general set.

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