7 citations · 7 across the 3 of their papers we have counts for
3 papers
math.PR2015★ 7 cited
Concentration for Poisson functionals: component counts in random geometric graphs
Sascha Bachmann
Upper bounds for the probabilities and are proved, where is a certain component count associated with…
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
Concentration Bounds for Geometric Poisson Functionals: Logarithmic Sobolev Inequalities Revisited
Sascha Bachmann, Giovanni Peccati
We prove new concentration estimates for random variables that are functionals of a Poisson measure defined on a general measure space. Our results are specifically adapted to geom…