Bounds on the deficit in the logarithmic Sobolev inequality

Sergey Bobkov; Nathael Gozlan; Cyril Roberto; Paul-Marie Samson

Journal articles

Bounds on the deficit in the logarithmic Sobolev inequality

Sergey Bobkov ¹ Nathael Gozlan ² Cyril Roberto ³ Paul-Marie Samson ²

1 UMN-MATH - School of Mathematics

2 Laboratoire d'Analyse et de Mathématiques Appliquées

LAMA - Laboratoire d'Analyse et de Mathématiques Appliquées

3 MODAL'X - Modélisation aléatoire de Paris X

Abstract : The de cit in the logarithmic Sobolev inequality for the Gaussian measure is considered and estimated by means of transport and information-theoretic distances.

Keywords : Entropy Logarithmic Sobolev inequality Fisher Information Transport Distance Gaussian measure

Document type :

Journal articles

Domain :

Mathematics [math] / Probability [math.PR]

Mathematics [math] / Functional Analysis [math.FA]

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https://hal-upec-upem.archives-ouvertes.fr/hal-01053507
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Submitted on : Thursday, July 31, 2014 - 11:19:09 AM
Last modification on : Saturday, January 15, 2022 - 4:01:23 AM
Long-term archiving on: : Tuesday, November 25, 2014 - 10:06:54 PM

Bounds on the deficit in the logarithmic Sobolev inequality

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Bounds on the deficit in the logarithmic Sobolev inequality

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