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arXiv · 1408.2115

Bounds on the deficit in the logarithmic Sobolev inequality

Sergey Bobkov·Nathael Gozlan·Cyril Roberto·Paul-Marie Samson
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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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Sergey Bobkov, Nathael Gozlan, Cyril Roberto, Paul-Marie Samson. 2014-08-09. Bounds on the deficit in the logarithmic Sobolev inequality. https://arxiv.org/abs/1408.2115

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