Mass transportation and contractions

Details Mass transportation and contractions Mass transportation and contractions

2011-03-08

arxiv.org/abs/1103.1479v1

Mathematics

Probability

13 pages, 27 references

Scientific paper

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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