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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
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.