Si segnala il seguente seminario a tutti gli interessati.
Martedì 20 Ottobre 2026, ore 11:00.
Aula Seminari III Piano, Dipartimento di Matematica, Politecnico di Milano.
Speaker: Maurizia Rossi, Università degli Studi di Milano-Bicocca.
Title: Limit theorems for functionals of stationary Gaussian fields.
Abstract:
In this talk, we explore central and non-central limit theorems for functionals of stationary Gaussian random fields, together with their regularity properties, through the lens of their decomposition into Wiener chaoses. We will emphasize three main settings:
the case in which the functional is ``concentrated on a single chaos''; the Breuer-Major setting, where all chaotic components contribute equally to the limit; and the challenging scenario in which the dominant contribution to the variance arises from the
tail of the chaotic expansion. Throughout the presentation, we will illustrate these phenomena with key examples and discuss some open questions. This talk is mainly based on joint works with L. Gass, L. Maini, N. Turchi and G. Zheng.