On the expected volume of intersection of independent Wiener sausages and the asymptotic behaviour of some related integrals

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Abstract

Let K be a compact, non-polar set in Euclidean space R-m (m >= 3) and let T-K be the first hitting time of K by a Brownian motion. We obtain the leading asymptotic behaviour as t -> infinity o integral(Rm) dx (P-x [T-K <t])(k), where k > 0 is a constant. (c) 2004 Elsevier Inc. All rights reserved.
Translated title of the contributionOn the expected volume of intersection of independent Wiener sausages and the asymptotic behaviour of some related integrals
Original languageEnglish
Pages (from-to)114 - 128
Number of pages15
JournalJournal of Functional analysis
Volume222 (1)
DOIs
Publication statusPublished - May 2005

Bibliographical note

Publisher: Academic Press
Other identifier: IDS number 913ZV

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