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Some remarks on weighted logarithmic Sobolev inequality

Abstract : We give here a simple proof of weighted logarithmic Sobolev inequality, for example for Cauchy type measures, with optimal weight, sharpening results of Bobkov-Ledoux. Some consequences are also discussed.
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https://hal.archives-ouvertes.fr/hal-00485124
Contributor : Arnaud Guillin <>
Submitted on : Thursday, May 20, 2010 - 10:13:17 AM
Last modification on : Thursday, March 5, 2020 - 5:55:39 PM
Document(s) archivé(s) le : Thursday, September 16, 2010 - 2:40:21 PM

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  • HAL Id : hal-00485124, version 1
  • ARXIV : 1005.3908

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Patrick Cattiaux, Arnaud Guillin, Liming Wu. Some remarks on weighted logarithmic Sobolev inequality. 2010. ⟨hal-00485124⟩

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