Jacques Chazarain
Jacques Chazarain (* 1942 ) is a French mathematician and computer scientist who deals with partial differential equations and dynamic systems.
Life
Chazarain received his PhD in 1970 from the University of Paris with Jacques-Louis Lions . He was a professor at the University of Sophia-Antipolis in Nice.
In an article in Inventiones Mathematicae from 1974 he deals with the wave equation on Riemann surfaces. As a starting point, he chooses the interpretation of Poisson's sum formula (formulation with Dirackamm) as the relationship between the spectrum of the Laplace operator on the torus and a sum over periodic geodetic orbits. Martin Gutzwiller sees in the essay as well as in works by Colin de Verdière at about the same time as a forerunner of his own trace formula, which provides a connection between classical and quantum mechanical regimes in classical chaotic systems.
He also worked in the Janus group at his university, developing program systems in the Scheme programming language .
Fonts
- with Alain Piriou: Introduction to the theory of linear partial differential equations, North Holland 1982
- Editors: Fourier integral operators and partial differential equations: Colloque International, Université de Nice, 1974, Springer, Lecture Notes in Mathematics 459, 1975
- Formule de Poisson pour les variétés riemanniennes, Inventiones Mathematicae, Volume 24, 1974, pp. 65-82. Digitized
- The problem mixte hyperbolique. Séminaire Bourbaki, 432, 1972
- Specter des opérateurs elliptiques et flots hamiltoniens. Séminaire Bourbaki 460, 1974/75
- Programmer avec Scheme, Vuibert 1998
Individual evidence
- ↑ Jacques Chazarain in the Mathematics Genealogy Project (English)
- ^ Gutzwiller, Chaos in Classical and Quantum Mechanic, Springer 1990, p. 297ff
| personal data | |
|---|---|
| SURNAME | Chazarain, Jacques |
| BRIEF DESCRIPTION | French mathematician |
| DATE OF BIRTH | 1942 |