Jean Ginibre

Jean Ginibre (* 1938 in Clermont- Ferrand ) is a French mathematical physicist.

Ginibre in 1965 received his doctorate at the University of Paris. He is now Emeritus Research Director at the CNRS at the University of Paris-Sud in Orsay, where he has taught since the early 1970s.

Ginibre 1965 proved the uniform distribution ( asymptotically, as n approaches infinity) in the unit disk of the complex plane of the eigenvalues ​​of the normalized n × n random matrices with Gaussian distribution of the ( statistically independent ) matrix elements (Circular Law ). The random matrices as described belong to a Ginibre ensemble.

In 1970 he gave a generalization of the inequalities of Robert Griffiths ( Ginibre inequality). Griffiths inequalities formulated his 1967 originally for correlations in the Ising model of ferromagnetism. These inequalities serve as proof of the thermodynamic limit of correlations in different models of statistical mechanics.

In 1971 he proved with Cees M. Fortuin and Pieter W. Kasteleyn the FKG inequalities ( after the initials of the authors, see Korrelationsungleichung ).

It deals 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.