Stability for the logarithmic Sobolev inequality
Mathphys Analysis Seminar
Date
Tuesday, November 14, 2023 16:15 - 17:15
Speaker
Giovanni Brigati (ISTA)
Location
Heinzel Seminar Room (I21.EG.101), Office Building West, ISTA
Series
Seminar/Talk
Tags
Mathematics and CS Seminar, mathematical_seminar_ics
Host
Jan Maas
Contact
The logarithmic Sobolev inequality compares the relative (with respect to the standard Gaussian) entropy of a density with its relative Fisher information. Having the sharp constant and the optimal functions been established, the question of stability is posed. In this talk, new constructive stability results due to Jean Dolbeault, Nikita Simonov, and the speaker are discussed. Our technique relies on refined properties of the heat flow, in particular the carrè du champ method.