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SUMMARY:The Logarithmic Sobolev Inequality: Stability\, Instability\, and 
 Improved Convergence Rates for the Ornstein–Uhlenbeck Flow
DTSTART:20251110T130000Z
DTEND:20251110T140000Z
DTSTAMP:20260506T112900Z
UID:indico-event-14508@indico.math.cnrs.fr
DESCRIPTION:Speakers: Nikita Simonov (LJLL - Sorbonne Université)\n\nIn c
 ertain functional inequalities\, the best constants and minimizers are kno
 wn. The next natural question concerns stability: if a function “almost 
 attains equality\,” in what sense is it close to a minimizer? We will di
 scuss some recent results (both positive and negative) on quantitative sta
 bility for the Logarithmic Sobolev inequality. Our approach is based on a 
 variant of the carré du champ method for the Ornstein–Uhlenbeck equatio
 n\, enabling us to derive fully constructive estimates. This talk is based
  on a series of results obtained in collaboration with Giovanni Brigati (I
 STA) and Jean Dolbeault (CEREMADE–Dauphine).\n\nhttps://indico.math.cnrs
 .fr/event/14508/
LOCATION:Amphi Schwartz
URL:https://indico.math.cnrs.fr/event/14508/
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