Discrete logarithmic Sobolev inequalities in Banach spaces

Speaker(s)

Alexandros Eskenazis

Affiliation

Sorbonne Université

Date

May 18, 2023, 12:15 p.m.

Information about the event

5820 (please note the change of room)

Seminar

Seminar of Probability Group

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We shall discuss certain aspects of vector-valued harmonic analysis on the discrete hypercube. After presenting the geometric motivation behind such investigations, we will survey known results on the Poincaré inequality and Talagrand’s influence inequality. Then we will proceed to present a new optimal vector-valued logarithmic Sobolev inequality in this context. The talk is based on joint work with D. Cordero-Erausquin (Sorbonne).

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