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Remark on the stability of Log-Sobolev inequality for Gaussian measure

Published 30 Jun 2015 in math.FA | (1506.08975v1)

Abstract: In this note we bound the deficit in the logarithmic Sobolev Inequality and in the Talagrand transport-entropy Inequality for the Gaussian measure, in any dimension, by mean of a distance introduced by Bucur and Fragal`a.

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