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math.PR2019
Almost Sure Central Limit Theorems in Stochastic Geometry
Giovanni-Luca Torrisi, Emilio Leonardi
We prove an almost sure central limit theorem on the Poisson space, which is perfectly tailored for stabilizing functionals emerging in stochastic geometry. As a consequence, we pr…
math.PR2019
Functional inequalities for marked point processes
Ian Flint, Nicolas Privault, Giovanni Luca Torrisi
In recent years, a number of functional inequalities have been derived for Poisson random measures, with a wide range of applications. In this paper, we prove that such inequalitie…