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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 : Gaussian measure Entropy Fisher Information Transport Distance Logarithmic Sobolev inequality
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Submitted on : Thursday, July 31, 2014 - 11:19:09 AM
Last modification on : Thursday, October 21, 2021 - 3:16:04 PM
Long-term archiving on: : Tuesday, November 25, 2014 - 10:06:54 PM

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  • HAL Id : hal-01053507, version 1
  • ARXIV : 1408.2115

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Sergey Bobkov, Nathael Gozlan, Cyril Roberto, Paul-Marie Samson. Bounds on the deficit in the logarithmic Sobolev inequality. Journal of Functional Analysis, Elsevier, 2014, 267 (11), pp.4110-4138. ⟨hal-01053507⟩

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