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math.PR2016
The Poisson-Voronoi cell around an isolated nucleus
Pierre Calka, Yann Demichel, Nathanaël Enriquez
Consider a planar random point process made of the union of a point (the origin) and of a Poisson point process with a uniform intensity outside a deterministic set surrounding the…
math.PR2012
Variance asymptotics for random polytopes in smooth convex bodies
Pierre Calka, J. E. Yukich
Let be a smooth convex set and let $¶_\la$ be a Poisson point process on of intensity $\la$. The convex hull of $¶_\la \cap K$ is a random convex polytope $…