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Hitting probabilities of conditional Brownian motion and polarisation

Published online by Cambridge University Press:  17 April 2009

Dimitrios Betsakos
Dimitrios Betsakos
Affiliation:
Department of Applied Mathematics, University of Crete, 71409 Heraklio, Greece e-mail: betsakos@tem.uoc.gr
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We study the behaviour of the hitting probabilities of conditional Brownian motion in a domain D in Euclidean space when we apply polarization to D. We also study how polarization affects the probability that conditional Brownian motion meets a subset of D.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 66 , Issue 2 , October 2002 , pp. 233 - 244
Copyright
Copyright © Australian Mathematical Society 2002

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