BROWNIAN EARTHWORM

作者:Burdzy Krzysztof*; Chen Zhen Qing; Pal Soumik
来源:Annals of Probability, 2013, 41(6): 4002-4049.
DOI:10.1214/12-AOP831

摘要

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.

  • 出版日期2013-11