# Pierre Collet (physicist)

**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.[3]

He is not to be confused with the University of Strasbourg's Pierre Collet, who specializes in artificial evolution and complex systems. https://cstb.icube.unistra.fr/index.php/Pierre_Collet

## Selected publications

### Articles

- 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 (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:
*Concepts and results in chaotic dynamics: a short course*, Springer Verlag, 2006. - with J.-P. Eckmann: Instabilities and fronts in extended systems. Princeton University Press, 2014.

## References

- Pierre Collet at the Mathematics Genealogy Project
- Pierre Collet, CPHT, École Polytechnique
- Collet, P. (1998). "Extended dynamical systems".
*Doc. Math. (Bielefeld) Extra Vol. ICM Berlin, 1998, vol. III*. pp. 123–132.