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MiS Preprint
100/2006

Expected volume of intersection of Wiener sausages and heat kernel norms on compact Riemannian manifolds with boundary

Michiel van den Berg and Peter B. Gilkey

Abstract

Estimates are obtained for the expected volume of intersection of independent Wiener sausages in Euclidean space in the small time limit. The asymptotic behaviour of the weighted diagonal heat kernel norm on compact Riemannian manifolds with smooth boundary is obtained in the small time limit.

Received:
Sep 20, 2006
Published:
Sep 20, 2006
MSC Codes:
58J35, 35P99, 60J65
Keywords:
Wiener sausage, heat kernel

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inJournal
2007 Repository Open Access
Peter B. Gilkey and Michiel van den Berg

Expected volume of intersection of pinned wiener sausages and heat kernel norms on compact riemannian manifolds with boundary

In: Potential analysis, 27 (2007) 4, pp. 301-312