Jean-Pierre Eckmann
Jean-Pierre Eckmann (born January 27, 1944 ) is a Swiss mathematical physicist and mathematician who deals with chaos theory.
Jean-Pierre Eckmann is the son of the mathematician Beno Eckmann . He studied at the ETH Zurich , where he obtained his physics diploma from Klaus Hepp in 1967 (renormalization of the Yukawa theory), and received his doctorate from Marcel Guenin at the University of Geneva in 1970 (Hamiltonians of persistent interactions), where he is also a professor.
Eckmann and his doctoral students Pierre Collet , Peter Wittwer and Hans Koch as well as Oscar Lanford were the first to give a strict treatment of the universality of the period doubling bifurcations treated by Mitchell Feigenbaum of a large class of dynamic systems of self-mapping on the unit interval and in higher dimensions. They used the method of the renormalization group known from quantum field theory and statistical mechanics and sometimes computer support in the proofs. His review article with David Ruelle from 1985, who combined the strange attractors, much studied in chaos theory, with classical mathematical ergodic theory has been quoted a lot .
He also dealt with statistical mechanics (such as spin glasses, neural networks), mathematical quantum field theory , hydrodynamics, random matrices and other areas of mathematical physics and partial differential equations.
He was invited speaker at the International Congress of Mathematicians in Berkeley in 1986 (The mechanism of Feigenbaum Universality) and in Beijing in 2002 (Non-equilibrium steady states).
Since 2001 he has been a member of the Academia Europaea and the Göttingen Academy of Sciences (1995). He is a fellow of the American Mathematical Society .
Fonts
- with Collet Iterated maps on the interval as dynamical systems , Birkhäuser Verlag, Progress in Physics, Volume 1, 1980 (Reprint 2009)
- with Collet Concepts and results in chaotic dynamics , Springer 2006
- with Peter Wittwer Computer methods and Borel summability applied to Feigenbaum's equation , Springer Verlag, Lecturenotes in Physics, Volume 227, 1985
- with Pierre Collet: A renormalization group analysis of the hierarchical model in statistical mechanics , Springer Verlag, Lecturenotes in Physics, Volume 74, 1978
- with Marcel Guenin Méthodes algébriques en mécanique statistique , Springer Verlag Lecturenotes in Mathematics, Volume 81, 1969
Web links
- Homepage at the University of Geneva
- Publications by and about Jean-Pierre Eckmann in the Helveticat catalog of the Swiss National Library
Individual evidence
- ^ Yearbook Göttingen Academy of Sciences 2008 with a list of members
- ↑ Photo with his parents in the Oberwolfach Collection
- ^ List of his PhD students in the Mathematics Genealogy Project
- ^ Eckmann, Collet, Lanford Universal Properties of Maps on an Interval, Commun. Math. Phys., Vol. 76, 1980, pp. 211-254
- ↑ Collet, Eckmann, Koch Period doubling bifurcations for family of maps on , J. Stat. Phys., Vol. 25, 1981, pp. 1-14
- ^ Collet, Eckmann On the Abundance of Aperiodic Behavior for Maps on the Interval , Comm. Math. Phys., Volume 73, 1980, p. 115, Bulletin AMS, New Series, Volume 3, 1980, No. 1
- ↑ Eckmann, Ruelle Ergodic theory and strange attractors , Reviews of Modern Physics, Volume 57, 1985, pp. 617-656, online on his homepage ( Memento of the original from September 13, 2005 in the Internet Archive ) Info: The archive link was inserted automatically and not yet checked. Please check the original and archive link according to the instructions and then remove this notice.
| personal data | |
|---|---|
| SURNAME | Eckmann, Jean-Pierre |
| BRIEF DESCRIPTION | Swiss physicist |
| DATE OF BIRTH | January 27, 1944 |