Logarithmic Sobolev inequality for diffusion semigroups
Résumé
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.
Origine : Fichiers produits par l'(les) auteur(s)
Loading...