21–23 mars 2023
Institut de Mathématiques de Toulouse
Fuseau horaire Europe/Paris

Central Limit Theorems for Poisson Random Waves

23 mars 2023, 14:55
55m
Amphi Schwartz (Institut de Mathématiques de Toulouse)

Amphi Schwartz

Institut de Mathématiques de Toulouse

Université Paul Sabatier Institut de Mathématiques de Toulouse 118, route de Narbonne F-31062 Toulouse Cedex 9

Orateur

Anna Paola Todino (Università degli Studi di Milano-Bicocca)

Description

We introduce a model of Poisson random waves in S^2 and we study Quantitative Central Limit Theorems when both the rate of the Poisson process and the frequency of the waves (eigenfunctions) diverge to infinity. We consider finite-dimensional distributions, harmonic coefficients and convergence in law in functional spaces, and we investigate carefully the interplay between the rate of divergence of eigenvalues and Poisson governing measures. The results were obtained exploiting Stein-Malliavin techniques on the Poisson space for the univariate and the multivariate case.

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