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arXiv · 1103.1479

Mass transportation and contractions

Alexander V. Kolesnikov
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Abstract

According to a celebrated result of L. Caffarelli, every optimal mass transportation mapping pushing forward the standard Gaussian measure onto a log-concave measure $e^{-W} dx$ with $D^2 W \ge {Id}$ is 1-Lipschitz. We present a short survey of related results and various applications.

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Alexander V. Kolesnikov. 2011-03-08. Mass transportation and contractions. https://arxiv.org/abs/1103.1479

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