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1 IMT - Institut de Mathématiques de Toulouse UMR5219 2 LAMA - Laboratoire d-Analyse et de Mathématiques Appliquées 3 CEREMADE - CEntre de REcherches en MAthématiques de la DEcision 4 MODAL-X - Modélisation aléatoire de Paris X 5 Department of Mathematics UCLA 6 Department of Mathematics - University of Bonn

Abstract : This paper presents different recent directions in the study of some classical functional inequalities: the Poincaré inequality, the logarithmic Sobolev inequality and Talagrand-s quadratic transport-entropy inequality. The results presented in this text were the subjects of a series of talks given by the authors in the session ``Functional inequalities- during the Journées MAS 2012 in Clermont-Ferrand.





Autor: Emmanuel Boissard - Nathael Gozlan - Joseph Lehec - Christian Léonard - Georg Menz - André Schlichting -

Fuente: https://hal.archives-ouvertes.fr/



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