Michel Talagrand
Michel Talagrand (born February 15, 1952 ) is a French mathematician who deals with probability theory and functional analysis .
In 1977 he did his doctorate with Gustave Choquet at the University of Pierre and Marie Curie (Univ. Paris VI) with the thesis Mesures invariantes, compacts de fonctions mesurables et topologie faible des espaces de Banach . Since 1985 he has been Director of Research of the CNRS at the University of Paris VI.
Talagrand dealt with the theory of stochastic processes and probability theory in Banach spaces , where he is known for ("concentration") inequalities that he established, which often make it possible to specify bounds for the fluctuations of stochastic processes. In the 2000s he was particularly concerned with the mathematical theory of spin glasses , models of disordered systems with connections to neural networks, which had previously been intensively researched in physics. For example, he gave a strict justification for the replica formula by Giorgio Parisi (based 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 1998, where he gave one of the plenary lectures ( Huge Random Structures and Mean Field Model of Spin Glasses ). In 1980 he received the Peccot-Vimont Prize of the Collège de France and in 1985 the Servant Prize of the Académie des Sciences . In 1995 he received the Loève Prize for Probability Theory, in 1997 the Fermat Prize of the University of Toulouse and in 2019 the Shaw Prize in Mathematics. He has been a corresponding member of the Académie des Sciences in Paris since 1997 and a full member since 2004.
In 2012 he gave a plenary lecture at the European Congress of Mathematicians (ECM) in Krakow ( Geometry of stochastic processes ).
Fonts
- Spinglasses - a challenge to mathematicians, Springer 2003
- with Michel Ledoux : Probability in Banach Spaces, Springer 1991
- The generic chaining, Springer 2005
- Pettis Integral and Measure Theory, Memoirs AMS 1984
- Mean field models for spin glasses, part 1,2, Springer 2011
- Upper and lower bounds for stochastic processes: modern methods and classical problems, Springer 2014
Web links
- Homepage at the University of Paris
- Page at the French Academy of Sciences with photo
- Literature by and about Michel Talagrand in the catalog of the German National Library
Individual evidence
| personal data | |
|---|---|
| SURNAME | Talagrand, Michel |
| BRIEF DESCRIPTION | French mathematician |
| DATE OF BIRTH | February 15, 1952 |