Fine Gaussian fluctuations on the Poisson space. II: Rescaled kernels, marked processes and geometric \(U\)-statistics

DOI10.1016/j.spa.2013.06.004zbMath1294.60082arXiv1205.0632OpenAlexW2022847705MaRDI QIDQ2447738

Giovanni Peccati, Raphael Lachieze-Rey

Publication date: 28 April 2014

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1205.0632

zbMATH Keywords

Malliavin calculusStein's methodstochastic geometrycentral limit theorems\(U\)-statisticsWiener chaosPoisson spacecontractionsWasserstein distance

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Central limit and other weak theorems (60F05) Stochastic calculus of variations and the Malliavin calculus (60H07) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

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