2 papers
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…