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
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Submission date: 20. Sep. 2006
published in: Potential analysis, 27 (2007) 4, p. 301-312
DOI number (of the published article): 10.1007/s11118-007-9061-5
with the following different title: Expected volume of intersection of pinned wiener sausages and heat kernel norms on compact riemannian manifolds with boundary
MSC-Numbers: 58J35, 35P99, 60J65
Keywords and phrases: Wiener sausage, heat kernel
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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.