131 citations · 233 across the 25 of their papers we have counts for
4 papers · 2 filters
Central limit theorems for the radial spanning tree
Matthias Schulte, Christoph Thaele
Consider a homogeneous Poisson point process in a compact convex set in -dimensional Euclidean space which has interior points and contains the origin. The radial spanning tree…
Cumulants on Wiener chaos: moderate deviations and the fourth moment theorem
Matthias Schulte, Christoph Thaele
A moderate deviation principle as well as moderate and large deviation inequalities for a sequence of elements living inside a fixed Wiener chaos associated with an isonormal Gauss…
Functional Poisson approximation in Kantorovich-Rubinstein distance with applications to U-statistics and stochastic geometry
Laurent Decreusefond, Matthias Schulte, Christoph Thäle
A Poisson or a binomial process on an abstract state space and a symmetric function acting on -tuples of its points are considered. They induce a point process on the target…
Normal approximation on Poisson spaces: Mehler's formula, second order Poincaré inequalities and stabilization
Günter Last, Giovanni Peccati, Matthias Schulte
We prove a new class of inequalities, yielding bounds for the normal approximation in the Wasserstein and the Kolmogorov distance of functionals of a general Poisson process (Poiss…