At the close of the 1980s, the independent contributions of Yann Brenier, Mike Cullen and John Mather launched a revolution in the venerable field of optimal transport founded by G. Monge in the 18th century, which has made breathtaking forays into various other domains of mathematics ever since. The author presents a broad overview of this area, supplying complete and self-contained proofs of all the fundamental results of the theory of optimal transport at the appropriate level of generality. Thus, the book encompasses the broad spectrum ranging from basic theory to the most recent research results.
PhD students or researchers can read the entire book without any prior knowledge of the field. A comprehensive bibliography with notes that extensively discuss the existing literature underlines the book’s value as a most welcome reference text on this subject.
Afterattending the Lycee Louis-le-Grand, Villani was admitted to the Ecole normalesuperieure in Paris and studied there from 1992 to 1996. He was later appointedassistant professor in the same school. He received his doctorate atParis-Dauphine University in 1998, under the supervision of Pierre-Louis Lions,and became professor at the Ecole normale superieure de Lyon in 2000. He is nowprofessor at Lyon University. He has been the director of Institut HenriPoincare in Paris since 2009.
Prizes:
2001:Louis Armand Prize of the Academy of Sciences
2003:Peccot-Vimont Prize and Cours Peccot of the College de France
2007:Jacques Herbrand Prize (French Academy of Sciences)
2008:Prize of the European Mathematical Society
2009: HenriPoincare Prize
2009: FermatPrize
2010: FieldsMedal
2014:Joseph L. Doob Prize of the American Mathematical Society for his book [OptimalTransport: Old and New (Springer 2009)]
Extra-academicdistinctions:
2009:Knight of the National Order of Merit (France)
2011:Knight of the Legion of Honor (France)
2013:Member of the French Academy of Sciences
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