Dominique Foata (born October 12, 1934) is a
mathematician who works in
enumerative combinatorics. With
Pierre Cartier and
Marcel-Paul Schützenberger he pioneered the modern approach to classical combinatorics, that lead, in part, to the current blossoming of
algebraic combinatorics
Algebraic combinatorics is an area of mathematics that employs methods of abstract algebra, notably group theory and representation theory, in various combinatorial contexts and, conversely, applies combinatorial techniques to problems in algeb ...
. His pioneering work on permutation statistics, and his combinatorial approach to special functions, are especially notable.
Foata gave an
invited talk at the International Congress of Mathematicians in
Warsaw (1983). Among his honors are the Scientific Prize of the
Union des Assurances de Paris (September 1985). With Adalbert Kerber and Volker Strehl he founded the mathematics journal ''
Séminaire Lotharingien de Combinatoire''. He is also one of the contributors of the pseudonymous collective
M. Lothaire M. Lothaire is the pseudonym of a group of mathematicians, many of whom were students of Marcel-Paul Schützenberger. The name is used as the author of several of their joint books about combinatorics on words. The group is named for Lothair I..
...
. In 1985, Foata received the
Prix Paul Doistau–Émile Blutet
The Prix Paul Doistau–Émile Blutet is a biennial prize awarded by the French Academy of Sciences in the fields of mathematics and physical sciences since 1954. Each recipient receives 3000 euros. The prize is also awarded quadrennially in bio ...
.
He was born in
Damascus
)), is an adjective which means "spacious".
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, image_seal = Emblem of Damascus.svg
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, ...
while it was under
French mandate.
Selected publications
Books
* with
Pierre Cartier : ''Problèmes combinatoires de commutation et réarrangements'', Lecture Notes in Mathematics, volume 85, Springer Verlag, 1969.
Réédition électroniqueavec trois nouveaux appendices, by D. Foata, B. Lass & Ch. Krattenthaler.)
* with
Marcel-Paul Schützenberger : ''Théorie géométrique des polynômes eulériens'', Lecture Notes in Mathematics, volume 138, Springer Verlag, 1970.
Réédition électronique)
* ''La série génératrice exponentielle dans les problèmes d'énumération'', Les Presses de l´Université de Montreal, 1974.
* with Aimé Fuchs : ''Processus stochastiques'', Dunod, 2002.
* with Jacques Franchi et Aimé Fuchs : ''Calcul des probabilités'', 3
e édition, Dunod, 2012. (translated into German under the title ''Wahrscheinlichkeitsrechnung'', by Volker Strehl. Birkhäuser Verlag AG, 1999.)
Articles
*
*
*with Pierre Leroux:
*with
Doron Zeilberger:
*with Guo-Niu Han:
*with Guo-Niu Han:
References
External links
*
Foata's website
* ttp://dynkincollection.library.cornell.edu/biographies/838 Interview with Foata (January 17, 1978, Solana Beach, CA) Eugene Dynkin Collection of Mathematics Interviews, Cornell University Library
The Cornell University Library is the library system of Cornell University. As of 2014, it holds over 8 million printed volumes and over a million ebooks. More than 90 percent of its current 120,000 Periodical literature, periodical titles are ...
.
1934 births
Living people
20th-century French mathematicians
21st-century French mathematicians
Combinatorialists
People from Damascus
Prix Paul Doistau–Émile Blutet laureates
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