33 citations · 53 across the 13 of their papers we have counts for
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math.PR2015
Random points in halfspheres
Imre Bárány, Daniel Hug, Matthias Reitzner +1
A random spherical polytope in a spherically convex set as considered here is the spherical convex hull of independent, uniformly distributed random point…
math.PR2015
Concentration for Poisson U-Statistics: Subgraph Counts in Random Geometric Graphs
Sascha Bachmann, Matthias Reitzner
Concentration inequalities for subgraph counts in random geometric graphs built over Poisson point processes are proved. The estimates give upper bounds for the probabilities $\mat…
math.PR2015
U-statistics in stochastic geometry
Raphaël Lachèze-Rey, Matthias Reitzner
This survey will appear as a chapter of the forthcoming book [19]. A U-statistic of order with kernel $f:\X^k \to \R^d$ over a Poisson process is defined in \cite{ReiSch11} as$…