Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)



Brownian motion in a ball in the presence of spherical obstacles

Author: Julie O'Donovan
Journal: Proc. Amer. Math. Soc. 138 (2010), 1711-1720
MSC (2010): Primary 31B05, 60J65
Published electronically: December 22, 2009
MathSciNet review: 2587456
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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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Additional Information

Julie O'Donovan
Affiliation: Department of Mathematics, University College Cork, Cork, Ireland

Keywords: Brownian motion, harmonic measure
Received by editor(s): June 19, 2009
Received by editor(s) in revised form: August 24, 2009
Published electronically: December 22, 2009
Communicated by: Michael T. Lacey
Article copyright: © Copyright 2009 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.