Stabilization via semigroup interpolations

Peccati, G., Luxemburg University, Luxemburg

I will present some recent advances in the domain of limit theorems for geometric Poisson functionals. The main result is a general (optimal) Berry-Esseen bound for stabilizing functionals, based on iterated Poincaré inequalities and a variant of Mehler's formula. Joint work with G. Last and M. Schulte (Karlsruhe).