23 citations · 199 across the 44 of their papers we have counts for
Showing 2009 · math.PRShow all
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math.PR2009
Poisson Thickening
Ori Gurel-Gurevich, Ron Peled
Let X be a Poisson point process of intensity lambda on the real line. A thickening of it is a (deterministic) measurable function f such that the union of X and f(X) is a Poisson…
math.PR2009★ 2 cited
Stationary map coloring
Omer Angel, Itai Benjamini, Ori Gurel-Gurevich +2
We consider a planar Poisson process and its associated Voronoi map. We show that there is a proper coloring with 6 colors of the map which is a deterministic isometry-equivariant…
math.PR2009
Phase Transitions in Gravitational Allocation
Sourav Chatterjee, Ron Peled, Yuval Peres +1
Given a Poisson point process of unit masses (``stars'') in dimension d>=3, Newtonian gravity partitions space into domains of attraction (cells) of equal volume. In earlier work,…