Optimal transport: Monge meets Riemann and Fourier Ce´dric Villani | ||||
| Journal of the Egyptian Mathematical Society | ||||
| Volume 19, Issue 1, June 2011, Page 95-96 PDF (316.37 K) | ||||
| DOI: 10.1016/j.joems.2011.09.007 | ||||
 View on SCiNiTO | ||||
| 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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