Michel Talagrand

Michel Talagrand (* February 15, 1952 ) is a French mathematician who deals with probability theory and functional analysis.

In 1977 he received his doctorate with Gustave Choquet at the University Pierre and Marie Curie ( Univ. Paris VI) with the work Mesures invariant, compacts de fonctions et mesurables topology faiblement of espaces de Banach. Since 1985 he has been Directeur de Recherches at the CNRS, University of Paris VI.

Talagrand dealt with the theory of stochastic processes and probability theory in Banach spaces, where he erected for him ( " concentration " - ) is known inequalities, which often allow to specify bounds on the fluctuations of stochastic processes. In the 2000s, he dealt in particular with the mathematical theory of spin- glasses, previously intensively researched in physics models of disordered systems, with connections to neural networks. For example, he gave a rigorous justification of the replica formula by Giorgio Parisi ( building on the work of Francesco Guerra ).

Talagrand was Invited Speaker at the International Congress of Mathematicians (ICM ) in Kyoto 1990 ( Some isoperimetric inequalities and Their application) and Berlin in 1998, where he gave one of the plenary ( Huge Random Structures and Mean Field Model of Spin Glasses ). In 1980 he received the Peccot - Vimont Prize of the Collège de France and 1985 the Servant Award of the Academy of Sciences. In 1995 he received the Loève Prize for probability theory and the 1997 Fermat Prize from the University of Toulouse. Since 1997 he has been corresponding since 2004 and full member of the Académie des Sciences in Paris.

In 2012 he gave a plenary lecture at the European Congress of Mathematicians (ECM ) in Krakow ( Geometry of stochastic processes ).

Writings

• Spinglasses - a challenge to mathematicians, Springer 2003
• Michel Ledoux: Probability in Banach Spaces, Springer 1991
• The generic chaining, Springer 2005
• Pettis Integral and Measure Theory, Memoirs AMS 1984