Optimal transport: Monge meets Riemann and Fourier Ce´dric Villani | ||
Journal of the Egyptian Mathematical Society | ||
Volume 19, Issue 1, June 2011, Pages 95-96 PDF (316.37 K) | ||
DOI: 10.1016/j.joems.2011.09.007 | ||
Author | ||
Ce´dric Villani | ||
ENS Lyon & Institut Henri Poincare´, 11 rue Pierre et Marie Curie, 75231 Paris Cedex 05, France | ||
Abstract | ||
This short contribution summarizes a talk given on May 5, 2010, in Cairo, describing some unexpected links between the Monge problem of optimal transport, the Riemann curvature and the heat equation. | ||
Keywords | ||
Optimal transport; Sobolev inequality; Curvature; Heat equation | ||
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