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Journal articles
Transport proofs of weighted Poincaré inequalities for log-concave distributions
Abstract : We prove, using optimal transport tools, weighted Poincar'e inequalities for log-concave random vectors satisfying some centering conditions. We recover by this way similar results by Klartag and Barthe-Cordero-Erausquin for log-concave random vectors with symmetries. In addition, we prove that the variance conjecture is true for increments of log-concave martingales.
Cited literature [23 references]
https://hal-upec-upem.archives-ouvertes.fr/hal-01023065
Contributor : Nathael Gozlan <>
Submitted on : Friday, July 11, 2014 - 2:35:16 PM
Last modification on : Thursday, May 14, 2020 - 3:22:02 PM
Long-term archiving on: : Saturday, October 11, 2014 - 12:40:31 PM
Contributor : Nathael Gozlan <>
Submitted on : Friday, July 11, 2014 - 2:35:16 PM
Last modification on : Thursday, May 14, 2020 - 3:22:02 PM
Long-term archiving on: : Saturday, October 11, 2014 - 12:40:31 PM
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variance6.pdf
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