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math.PR2012★ 34 cited
Semi-infinite paths of the 2d-Radial Spanning Tree
François Baccelli, David Coupier, Viet Chi Tran
We study semi-infinite paths of the radial spanning tree (RST) of a Poisson point process in the plane. We first show that the expectation of the number of intersection points betw…
math.PR2012★ 6 cited
Generating Functionals of Random Packing Point Processes: From Hard-Core to Carrier Sensing
Nguyen Tien Viet, Francois Baccelli
In this paper we study the generating functionals of several random packing processes: the classical Matérn hard-core model; its extensions, the -Matérn models and the -…