| 释义 |
- Selected publications Articles Books
- References
- External links
Pierre Collet (born 1948) is a French mathematical physicist, specializing in statistical mechanics, stochastic processes, and chaos theory. Collet received in 1978 from the University of Geneva his doctorate under Jean-Pierre Eckmann with thesis Étude du modèle hiérarchique par le groupe de renormalisation.[1] Collet is a Director of Research of the CNRS at the École polytechnique.[2] Collet is known for mathematically exact investigations of several model systems in statistical mechanics and chaos theory. He was an Invited Speaker of the ICM in 1998 in Berlin. He is not to be confused with the University of Strasbourg's Pierre Collet, who specializes in bioinformatics.{{who|date=June 2018}} Selected publicationsArticles- with J.-P. Eckmann: On the abundance of aperiodic behaviour for maps on the unit interval. Bull. Amer. Math. Soc. 3 (1980) Part 1:699-700. {{doi|10.1090/S0273-0979-1980-14799-0}}
- with Servet Martínez and Bernard Schmitt: On the enhancement of diffusion by chaos, escape rates and stochastic instability. Trans. Amer. Math. Soc. 351 (1999) 2875–2897. {{doi|10.1090/S0002-9947-99-02023-1}}
- with J.-P. Eckmann: Liapunov multipliers and decay of correlations in dynamical systems, Journal Stat. Phys., vol. 115, 2004, pp. 217–254 {{doi|10.1023/B:JOSS.0000019817.71073.61}}
- Some aspects of the central limit theorem and related topics. Harmonic Analysis and Rational Approximation: Their Roles in Signals, Control and Dynamical Systems, Lecture Notes in Control and Information Sciences, vol. 327, Springer Verlag 2006, pp. 105–127 {{doi|10.1007/11601609_7}}
- with Servet Martinez and Jaime San Martin: Ratio limit theorem for parabolic horn-shaped domains. Trans. Amer. Math. Soc. 358 (2006) 5059–5082. {{doi|10.1090/S0002-9947-06-03908-0}}
Books- with J.-P. Eckmann: A renormalization group analysis of the hierarchical model in statistical mechanics, Springer Verlag, Lecture Notes in Physics, vol. 74, 1978
- with J.-P. Eckmann: Iterated maps on the interval as dynamical systems, Birkhäuser Verlag, Progress in Physics, vol. 1, 1980 ([https://books.google.com/books/about/Iterated_Maps_on_the_Interval_as_Dynamic.html?id=ga0H2VJAFqMC Reprint 2009])
- as editor with M. Courbage, S. Métens, A. Neishtadt, and G. Zaslavsky: Chaotic dynamics and transport in classical and quantum systems, Kluwer 2005 (Summer Institute Cargèse 2003)
- with J.-P. Eckmann: [https://books.google.com/books/about/Concepts_and_Results_in_Chaotic_Dynamics.html?id=g9U9PVzPyGgC Concepts and results in chaotic dynamics: a short course], Springer Verlag, 2006.
- with J.-P. Eckmann: [https://books.google.com/books?id=CRwABAAAQBAJ Instabilities and fronts in extended systems]. Princeton University Press, 2014.
References1. ^{{MathGenealogy|id=99745}}
2. ^[https://www.cpht.polytechnique.fr/?q=en/node/84 Pierre Collet, CPHT, École Polytechnique]
External links- [https://www.idref.fr/07653555X Collet, Pierre (1948–...), idref.fr]
{{authority control}}{{DEFAULTSORT:Collet, Pierre}} 7 : French physicists|20th-century French mathematicians|21st-century French mathematicians|Mathematical physicists|University of Geneva alumni|1948 births|Living people |