Proceedings of the American Mathematical Society

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ISSN 1088-6826(e) ISSN 0002-9939(p)

Brownian motion in a ball in the presence of spherical obstacles

Author(s): Julie O'Donovan
Journal: Proc. Amer. Math. Soc. 138 (2010), 1711-1720.
MSC (2010): Primary 31B05, 60J65
Posted: December 22, 2009
MathSciNet review: 2587456
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Abstract | References | Similar articles | Additional information

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
Email: j.odonovan@ucc.ie

DOI: 10.1090/S0002-9939-09-10174-0
PII: S 0002-9939(09)10174-0
Keywords: Brownian motion, harmonic measure
Received by editor(s): June 19, 2009,
Received by editor(s) in revised form: August 24, 2009
Posted: December 22, 2009
Communicated by: Michael T. Lacey
Copyright of article: Copyright 2009, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

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