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Brownian earthworm
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Brownian earthworm
classification
math.PR
keywords
brownianspheretorusconvergedimensionaldistancedrivenearthworm
read the original 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.
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