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Logarithmic Sobolev inequality for diffusion semigroups

Gentil, Ivan (2009), Logarithmic Sobolev inequality for diffusion semigroups, Optimal transportation: Theory and applications, 2009-06, Grenoble, France

Type
Communication / Conférence
Lien vers un document non conservé dans cette base
http://hal.archives-ouvertes.fr/hal-00518780/fr/
Date
2009
Titre du colloque
Optimal transportation: Theory and applications
Date du colloque
2009-06
Ville du colloque
Grenoble
Pays du colloque
France
Pages
15
Métadonnées
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Auteur(s)
Gentil, Ivan
Résumé (EN)
Through the main example of the Ornstein-Uhlenbeck semigroup, the Bakry-Emery criterion is presented as a main tool to get functional inequalities as Poincar´e or logarithmic Sobolev inequalities. Moreover an alternative method using the optimal mass transportation, is also given to obtain the logarithmic Sobolev inequality.
Mots-clés
Bckry-Emery criterion; Ornstein-Uhlenbeck semi-group; Poincaré inequality; Logarithmic Sobolev inequality