Resumen de Brownian earthworm

Krzysztof Burdzy, Zhen-Qing Chen, Soumik Pal

• 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.