Benjamin Jourdain
Published 2012-06-26Version 1
In this paper, we prove that, in dimension one, the Poincar\'e 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.
Two perspectives of the unit area quantum sphere and their equivalence
Non-monotone convergence in the quadratic Wasserstein distance
Equivalence of Weak and Strong Uniform Glivenko-Cantelli Classes
![QR code for arXiv:1206.5931 [math.PR]](http://oss.arxitics.com/images/favicon.svg)