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SUMMARY:Alexandros Eskenazis (University of Cambridge\, UK)
DTSTART:20210329T190000Z
DTEND:20210329T200000Z
DTSTAMP:20260423T021335Z
UID:paw/24
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/paw/24/">Met
 ric Influence inequalities</a>\nby Alexandros Eskenazis (University of Cam
 bridge\, UK) as part of Probability and Analysis Webinar\n\n\nAbstract\nTa
 lagrand's influence inequality (1994) is an asymptotic improvement of the 
 classical Poincaré inequality on the Hamming cube with numerous applicati
 ons to Boolean analysis\, discrete probability theory and geometric functi
 onal analysis. In this talk\, we shall introduce a metric space-valued ver
 sion of Talagrand's inequality and show its validity for some natural clas
 ses of spaces. Emphasis will be given to the probabilistic aspects of the 
 proofs. We will also explain a geometric application of this metric invari
 ant to the bi-Lipschitz embeddability of a natural family of finite metric
 s and mention related open problems. The talk is based on joint work with 
 D. Cordero-Erausquin.\n
LOCATION:https://researchseminars.org/talk/paw/24/
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