Brownian motion in a ball in the presence of spherical obstacles
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- by Julie O’Donovan PDF
- 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.References
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Additional Information
- Julie O’Donovan
- Affiliation: Department of Mathematics, University College Cork, Cork, Ireland
- Email: j.odonovan@ucc.ie
- 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
- © Copyright 2009
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 138 (2010), 1711-1720
- MSC (2010): Primary 31B05, 60J65
- DOI: https://doi.org/10.1090/S0002-9939-09-10174-0
- MathSciNet review: 2587456