Anna Vidotto
Published 2017-06-21Version 1
We present an improved version of the second order Gaussian Poincar\'e inequality, developed in Chatterjee (2009) and Nourdin, Peccati and Reinert (2009), which we use in order to bound distributional distances between functionals of Gaussian fields and a normal random variable. Some applications are developed, including a quantitative version of the Sinai-Soshnikov CLT and the Breuer-Major theorems, improving some previous findings in the literature.
Limit theorems for Gaussian fields via Chaos Expansions and Applications
Stochastic homogenization of Gaussian fields on random media
Markov loops, determinants and Gaussian fields
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