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

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

2006-09-21

arxiv.org/abs/math/0609603v1

Mathematics

Analysis of PDEs

Scientific paper

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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