MiS Preprint Repository
We have decided to discontinue the publication of preprints on our preprint server end of 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.
Expected volume of intersection of Wiener sausages and heat kernel norms on compact Riemannian manifolds with boundary
Michiel van den Berg and Peter B. GilkeyAbstract
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:
- 20.09.06
- Published:
- 20.09.06
- MSC Codes:
- 58J35, 35P99, 60J65
- Keywords:
- Wiener sausage, heat kernel