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We define and analyze a random coverage process of the d-dimensional Euclidean spacewhich allows one to describe a continuous spectrum that ranges from the Boolean model tothe Poisson-Voronoi tessellation to the Johnson-Mehl model. Like for the Boolean model,the minimal stochastic setting consists of a Poisson point process on this Euclidean spaceand a sequence of real valued random variables considered as marks of this point process.In this coverage process, the cell attached to a point...

On a coverage process ranging from the Boolean model to the Poisson–Voronoi tessellation with applications to wireless communications