We define a renormalized intersection local time to describe the amount of self-intersection of the Brownian motion on a two-dimensional Riemannian manifold $M$. The second order asymptotics of the area of the Wiener sausage of radius $\varepsilon$ on $M$ are described in terms of the renormalized intersection local time.
Publié le : 1991-01-14
Classification:
Riemannian manifold,
heat kernel,
Brownian motion,
Wiener sausage,
renormalized intersection local time,
58G32
@article{1176990537,
author = {Chavel, Isaac and Feldman, Edgar and Rosen, Jay},
title = {Fluctuations of the Wiener Sausage for Surfaces},
journal = {Ann. Probab.},
volume = {19},
number = {4},
year = {1991},
pages = { 83-141},
language = {en},
url = {http://dml.mathdoc.fr/item/1176990537}
}
Chavel, Isaac; Feldman, Edgar; Rosen, Jay. Fluctuations of the Wiener Sausage for Surfaces. Ann. Probab., Tome 19 (1991) no. 4, pp. 83-141. http://gdmltest.u-ga.fr/item/1176990537/