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

2006/09/21 by M. van den Berg, Peter Gilkey, Berg, M. van den +2
Computer Science · Mathematics · #35P99 #58J35 #60J65 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Spectral Theory in Mathematical Physics #advanced mathematical theories #math.AP #msc:35P99 #msc:58J35 #msc:60J65

paper · pdf · doi:10.48550/arxiv.math/0609603

arxiv created 2006/09/21 · openalex publication_date 2006/09/21 · arxiv updated 2009/12/01 · openalex created_date 2019/06/27 · openalex updated_date 2026/07/28

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

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