Gamma distributions in Poisson Voronoi and hyperplane tessellations
Seminar Room 1, Newton Institute
AbstractRandom Voronoi and hyperplane tessellations are basic models of stochastic geometry. Recently they have been proposed as stochastic models for spatial telecommunication networks. In this talk we will discuss Poisson driven tessellations.
Since the seminal work by Miles, Moeller and Zuyev it is known, that the (generalized) integral-geometric contents of several closed sets constructed on stationary Poisson Voronoi and hyperplane tessellations are (conditionally) gamma-distributed. Combining the theory of Palm measures with stopping set techniques we will extend und unify these results.
Parts of this talk are based on joint work with Volker Baumstark.
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