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Bounds on the deficit in the logarithmic Sobolev inequality |
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| Authors: | S.G. Bobkov N. Gozlan C. Roberto P.-M. Samson |
| Affiliation: | 1. School of Mathematics, University of Minnesota, USA;2. Université Paris Est Marne la Vallée – Laboratoire d''Analyse et de Mathématiques Appliquées (UMR CNRS 8050), 5 bd Descartes, 77454 Marne la Vallée Cedex 2, France;3. Université Paris Ouest Nanterre la Défense, MODAL''X, EA 3454, 200 avenue de la République, 92000 Nanterre, France |
| Abstract: | The deficit in the logarithmic Sobolev inequality for the Gaussian measure is considered and estimated by means of transport and information-theoretic distances. |
| Keywords: | Logarithmic Sobolev inequality Probability distances Optimal transport Gaussian measures |
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