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TZID:Europe/Paris
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UID:7089@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20190322T110000
DTEND;TZID=Europe/Paris:20190322T120000
DTSTAMP:20241120T203417Z
URL:https://www.i2m.univ-amu.fr/evenements/from-harnack-inequality-to-heat
 -kernel-estimates-on-metric-measure-spaces-and-applications-luca-tamanini/
SUMMARY:Luca Tamanini (CEREMADE\, Université Paris-Dauphine): From Harnack
  inequality to heat kernel estimates on metric measure spaces and applicat
 ions
DESCRIPTION:Luca Tamanini: Aim of this talk is to show that a dimension-fre
 e Harnack inequality on an infinitesimally Hilbertian metric measure space
  where the heat semigroup admits an integral representation in terms of a 
 kernel is suffcient to deduce a sharp upper Gaussian estimate for such ker
 nel. As intermediate step\, we prove the local logarithmic Sobolev inequal
 ity (known to be equivalent to a lower bound on the Ricci curvature tensor
  in smooth Riemannian manifolds). Both results are new also in the more re
 gular framework of RCD(K\,∞) spaces.\nhttps://arxiv.org/abs/1907.07163\n
 http://cvgmt.sns.it/person/2247/
ATTACH;FMTTYPE=image/jpeg:https://www.i2m.univ-amu.fr/wp-content/uploads/2
 020/01/Luca_Tamanini.jpg
CATEGORIES:Séminaire,Probabilités
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DTSTART:20181028T020000
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