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Journal Articles Journal of Functional Analysis Year : 2014

Bounds on the deficit in the logarithmic Sobolev inequality

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.
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Dates and versions

hal-01053507 , version 1 (31-07-2014)

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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, 2014, 267 (11), pp.4110-4138. ⟨hal-01053507⟩
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