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Random walk on sphere packings and Delaunay triangulations in arbitrary dimension

Bou-Rabee, Ahmed et al.
arXiv (All) · Papers
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analysis-of-pdesmathematical-physicsprobability
We prove that random walks on a family of tilings of d-dimensional Euclidean space, with a canonical choice of conductances, converge to Brownian motion modulo time parameterization. This class of tilings includes Delaunay triangulations (the dual of Voronoi tesselations) and sphere packings. Our re
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