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math.PR2013
Limit theory for the Gilbert graph
Matthias Reitzner, Matthias Schulte, Christoph Thaele
For a given homogeneous Poisson point process in two points are connected by an edge if their distance is bounded by a prescribed distance parameter. The behaviour o…
math.PR2013
Poisson point processes: Large deviation inequalities for the convex distance
Matthias Reitzner
An analogue of Talagrand's convex distance for binomial and Poisson point processes is defined. A corresponding large deviation inequality is proved.