Mathematics – Probability
Scientific paper
2010-11-24
Mathematics
Probability
Scientific paper
We prove that the distance between two reflected Brownian motions 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.
Burdzy Krzysztof
Chen Zhen-Qing
Pal Soumik
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