Limit theorems for functionals of Gaussian fields: existing results and new challenges

Maini Leonardo, Università degli Studi di Milano-Bicocca

Limit theorems for functionals of Gaussian fields have been extensively studied during the last 50 years. In this talk, we will first provide an overview of the most celebrated results and techniques in this framework. Then we will focus on more recent results, introducing the new challenges that arise considering random fields with "non-standard" properties.

Area: IS8 - Random Fields (Maurizia Rossi)

Keywords: Random fields, Gaussian fields, Malliavin Calculus, Stein's method