Ali Barki (ModalX)

Ali Barki (ModalX)

Exponential inequalities in probability spaces revisited


5 juillet 2024    
15h30 - 16h30

Salle du Conseil, Espace Turing
45 rue des Saints-Pères, Paris, 75006

Type d’évènement

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.

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