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Séminaire MODAL'X : Ali Barki (Modal'X, Université Paris Nanterre)

Publié le 9 janvier 2024 Mis à jour le 22 avril 2024

Exponential inequalities in probability spaces revisited


le 25 avril 2024

13h30 - 14h30

Bâtiment Maurice Allais (G)

Bâtiment Allais (G), salle Modal'X
Plan d'accès
Résumé :  In this talk, we revisit several results on exponential integrability in probability spaces and derive some new ones. In particular, we give a quantitative form of recent results by Cianchi, Musil, and Pick in the framework of Moser-Trudinger-type inequalities, and recover Ivanisvili-Russell’s inequality for the Gaussian measure. One key ingredient is the use of a dual argument, which is new in this context, that we also implement in the discrete setting of the Poisson measure on integers. This is a joint work with Sergey Bobkov, Esther Bou Dagher and Cyril Roberto.

Mis à jour le 22 avril 2024