Bounds on the deficit in the logarithmic Sobolev inequality

Cyril Roberto (MODAL'X); Nathael Gozlan (LAMA); Paul-Marie Samson (LAMA); Sergey Bobkov (UMN-MATH)

arxiv: 1408.2115 · v1 · pith:UKCB3S4Snew · submitted 2014-08-09 · 🧮 math.PR · math.FA

Bounds on the deficit in the logarithmic Sobolev inequality

Sergey Bobkov (UMN-MATH) , Nathael Gozlan (LAMA) , Cyril Roberto (MODAL'X) , Paul-Marie Samson (LAMA) This is my paper

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keywords inequalitylogarithmicsobolevboundsconsidereddeficitdistancesestimated

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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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Bounds on the deficit in the logarithmic Sobolev inequality

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