Jean Ginibre
Jean Ginibre (* 1938 in Clermont-Ferrand ; † March 26, 2020 in Bligny ) was a French mathematical physicist .
Ginibre received his PhD from the University of Paris in 1965. He then became emeritus research director of the CNRS at the University of Paris-South in Orsay , where he has taught since the early 1970s.
In 1965 Ginibre proved the uniform distribution (asymptotically, for n towards infinity) in the unit disk of the complex plane of the eigenvalues of normalized n × n random matrices with Gaussian distribution of the (statistically independent) matrix elements (circular law). The random matrices described in this way belong to a Ginibre ensemble.
In 1970 he gave a generalization of Robert Griffiths' inequalities (Ginibre inequality). Griffiths originally formulated his inequalities in 1967 for correlations in the Ising model of ferromagnetism. These inequalities are used, for example, to prove the thermodynamic limit value of correlations in various models of statistical mechanics.
In 1971, together with Cees M. Fortuin and Pieter Kasteleyn , he proved the FKG inequalities (according to the first letters of the authors, see correlation inequality ).
He dealt with statistical mechanics, nonlinear partial differential equations (such as the Schrödinger equation ), quantum mechanical scattering theory and the theory of diffusion .
In 1969 he received the Prix Paul Langevin .
Web links
- Homepage
- Literature by and about Jean Ginibre in the SUDOC catalog (Association of French University Libraries)
Individual evidence
- ↑ Date of birth according to the International Physics and Astronomy Directory 1969, at that time his position was that of Maitre de Recherche
- ↑ Ginibre Statistical ensembles of complex, quaternionic and real matrices J. Math. Phys., Volume 6, 1965, pp. 440-449
- ^ Ginibre General formulation of Griffiths' inequalities , Comm. Math. Physics, Vol. 16, 1970, pp. 310-328
- ↑ Fortuin, Ginibre, Kasteleyn Correlation inequalities for some partially ordered sets , Comm. Math. Phys., Vol. 22, 1971, pp. 89-103
- ↑ List exhaustive de tous les récipiendaires de prix SFP
| personal data | |
|---|---|
| SURNAME | Ginibre, Jean |
| BRIEF DESCRIPTION | French mathematician and physicist |
| DATE OF BIRTH | 1938 |
| PLACE OF BIRTH | Clermont-Ferrand |
| DATE OF DEATH | March 26, 2020 |
| Place of death | Bligny |