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2012 Equivalence of the Poincaré inequality with a transport-chi-square inequality in dimension one
Benjamin Jourdain
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Electron. Commun. Probab. 17: 1-12 (2012). DOI: 10.1214/ECP.v17-2115

Abstract

In this paper, we prove that, in dimension one, the Poincaré inequality is equivalent to a new transport-chi-square inequality linking the square of the quadratic Wasserstein distance with the chi-square pseudo-distance. We also check tensorization of this transport-chi-square inequality.<br /><br />

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Benjamin Jourdain. "Equivalence of the Poincaré inequality with a transport-chi-square inequality in dimension one." Electron. Commun. Probab. 17 1 - 12, 2012. https://doi.org/10.1214/ECP.v17-2115

Information

Accepted: 26 September 2012; Published: 2012
First available in Project Euclid: 7 June 2016

zbMATH: 1253.26031
MathSciNet: MR2981899
Digital Object Identifier: 10.1214/ECP.v17-2115

Subjects:
Primary: 26D10
Secondary: 60E15

JOURNAL ARTICLE
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