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| HAL: hal-00711885, version 1 |
| arXiv: 1206.5931 |
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| Equivalence of the Poincaré inequality with a transport-chi-square inequality in dimension one |
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| Benjamin Jourdain 1 |
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| (2012-06-26) |
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| 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. |
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| 1: | Centre d'Enseignement et de Recherche en Mathématiques et Calcul Scientifique (CERMICS) |
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Ecole des Ponts ParisTech |
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| Subject | : | Mathematics/Probability |
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| hal-00711885, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00711885 | |
| oai:hal.archives-ouvertes.fr:hal-00711885 | |
| From: Benjamin Jourdain | |
| Submitted on: Tuesday, 26 June 2012 08:50:54 | |
| Updated on: Tuesday, 26 June 2012 11:20:50 | |
