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

Second order Poincaré inequalities and applications to geometric functionals

23 mars 2023, 09:45
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

Raphaël Lachièze-Rey (MAP5, Université de Paris)

Description

Stein's method applied to orthogonal decompositions has allowed to establish second order Poincaré inequalities for random functionals of binomial input and Poisson input. We will show how to apply these inequalities, and in particular how they enabled to show limit theorems for geometric functionals for random processes defined on the Euclidean space or a smooth manifold.

Documents de présentation