Fine Gaussian fluctuations on the Poisson space II: Rescaled kernels, marked processes and geometric UU-statistics

Continuing the analysis initiated by Lachièze-Rey and Peccati (2013), we use contraction operators to study the normal approximation of random variables having the form of a UU-statistic written on the points in the support of a random Poisson measure. Applications are provided to subgraph counting, boolean models and coverage of random networks.