Vincitori del 1994
Queste sono le schede dei giovani matematici premiati con il prestigioso premio nell'anno 1994.
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Nome:
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Pierre-Louis Lions
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Nato il:
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5 Agosto 1956
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A:
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Grasse (Francia)
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Universitá:
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Universite de Paris-Dauphine
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The
first area of Lions work that is highlighted by both and is his work on
"viscosity solutions" for nonlinear partial differential equations. The
method was first introduced by Lions in joint work with M G Crandall in
1983 in which they studied Hamilton-Jacobi equations. Lions and others
have since applied the method to a wide class of partial differential
equations, the so-called "fully nonlinear second order degenerate
elliptic partial differential equations".
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Nome:
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Jean-Christophe YOCCOZ
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Nato il:
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29 Marzo 1957
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A:
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Ostende (Francia)
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Universitá:
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Universite de Paris-Sud
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| He combines an extremely acute geometric intuition, an impressive command of analysis, and a penetrating combinatorial sense to play the chess game at which he excels. He occasionally spends half a day on mathematical "experiments", by hand or by computer. "When I make such an experiment", he says, "it is not just the results that interest me, but the manner in which it unfolds, which sheds light on what is really going on." Yoccoz has developed a method of combinatorial study of Julia sets and Mandelbrot sets - called "Yoccoz puzzles" - which permit deep insight. | ||
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Nome:
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Jean BOURGAIN
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Nato il:
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28 Febbraio 1954
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A:
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Ostende (Belgio)
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Universitá:
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Free University of Brussels
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Bourgain
has made outstanding contributions across a whole range of topics in
analysis. At the International Congress of Mathematicians in Zurich in
1994, Bourgain received his greatest honour for this work when he was
awarded a Fields Medal. Caffarelli addressed the Congress on Bourgain's
work which had led to this great honour. Bourgain's work touches on
several central topics of mathematical analysis: the geometry of Banach
spaces, convexity in high dimensions, harmonic analysis, ergodic
theory, and finally, nonlinear partial differential equations from
mathematical physics.
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Nome:
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Efim Zelmanov
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Nato il:
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7 Settembre 1955
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A:
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Mosca
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Universitá:
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Novosibirsk State University
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| In 1994 Zelmanov was awarded a Fields Medal for this work at the International Congress of Mathematicians in Zurich in 1994. Let me explain the background to the restricted Burnside problem, the solution of which was the main reason for the award of the Medal, and also explain how Zelmanov, not a group theorist by training, came to solve one of the most fundamental questions in group theory. | ||
Elenco vincitori