Citation
Burdzy, Krzysztof et al., Brownian earthworm, Annals of probability , 41(6), 2013, pp. 4002-4049
Journal title
ISSN journal
00911798
Volume
41
Issue
6
Year of publication
2013
Pages
4002 - 4049
Database
ACNP
SICI code
Abstract
We prove that the distance between two reflected Brownian motions, driven by the same white noise, outside a sphere in a 3-dimensional flat torus does not converge to 0, a.s., if the radius of the sphere is sufficiently small, relative to the size of the torus.