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arxiv: 1103.1479 · v1 · pith:OX7CEQB3new · submitted 2011-03-08 · 🧮 math.PR · math.AP

Mass transportation and contractions

Alexander V. Kolesnikov This is my paper
classification 🧮 math.PR math.AP
keywords massmeasuretransportationaccordingapplicationscaffarellicelebratedcontractions
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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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