Villani, C. (2011). Optimal transport: Monge meets Riemann and Fourier Ce´dric Villani. test, 19(1), 95-96. doi: 10.1016/j.joems.2011.09.007
Ce´dric Villani. "Optimal transport: Monge meets Riemann and Fourier Ce´dric Villani". test, 19, 1, 2011, 95-96. doi: 10.1016/j.joems.2011.09.007
Villani, C. (2011). 'Optimal transport: Monge meets Riemann and Fourier Ce´dric Villani', test, 19(1), pp. 95-96. doi: 10.1016/j.joems.2011.09.007
Villani, C. Optimal transport: Monge meets Riemann and Fourier Ce´dric Villani. test, 2011; 19(1): 95-96. doi: 10.1016/j.joems.2011.09.007

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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