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math.PR2005
Tail Bounds for the Stable Marriage of Poisson and Lebesgue
Christopher Hoffman, Alexander E. Holroyd, Yuval Peres
Let Ξbe a discrete set in R^d. Call the elements of Ξcenters. The well-known Voronoi tessellation partitions R^d into polyhedral regions (of varying volumes) by allocating each sit…
math.PR2005★ 2 cited
Recurrence of Simple Random Walk on is Dynamically Sensitive
Christopher Hoffman
Benjamini, Haggstrom, Peres and Steif introduced the concept of a dynamical random walk. This is a continuous family of random walks, {S_n(t)}. Benjamini et. al. proved that if d=3…