Senior Scientist ("Directeur de Recherche") at CNRS

Research activities : Mathematical Physics

Address CPHT, Ecole Polytechnique, 91128 Palaiseau cedex, France
Telephone number +33-(0)1 69 33 42 80
Fax number +33-(0)1 69 33 49 49
Contact firstname.lastname@polytechnique.edu
Office Building 13, office 015

Research Interests

  • Law dimensional dynamical systems (statistical properties, complexity, chaos).
  • Extended dynamical systems (dimension, entropy).
  • Stochastic processes (quasi invariant measures, ratio limit theorems, statistical aspects).
  • Statistical Mechanics (concentration properties, fluctuations).
  • Continuum Mechanics (Hopkinson pressure bars, signal analysis, material properties).

Some publications

Bussac M.N., Collet P., Gary G., Othman R.
An optimisation method for separating and rebuilding one-dimensional dispersive waves from multi-point measurements. Application to elastic or viscoelastic bars.
Journ. Mech. Phys. Sol. 50, 321-349 (2002).

Collet P., Eckmann J. P.
Lyapunov multipliers and decay of correlations in dynamical systems.
Journal Stat. Phys. 115, 217-254 (2004).

Chazottes J. R., Collett P., Schmitt B.
Devroye inequality for a class of non-uniformly hyperbolic dynamical systems.
Nonlinearity 18, 2323-2340 (2005).

Collet P., Martinez S., Martin J. S.
Ratio limit theorem for parabolic horn-shaped domains.
Trans. Amer. Math. Soc. 358, 5059-5082 (2006)

Recent Articles

Collet P, Martinez S. 
Measure evolution of cellular automata and of finitely anticipative transformations. 
Ergodic Theory & Dynamical Systems 2017;37(1):129-145.
​DOI: 10.1017/etds.2015.39

Billiard S, Collet P, Ferriere R, Meleard S, Tran VC. 
The effect of competition and horizontal trait inheritance on invasion, fixation, and polymorphism.
Journal of Theoretical Biology 2016;411:48-58.
DOI: 10.1016/j.jtbi.2016.10.003

Chazottes J-R, Collet P, Meleard S.
Sharp asymptotics for the quasi-stationary distribution of birth-and-death processes. 
Probability and related fields 2016;164(1-2):285-332. 
DOI: 10.1007/s00440-014-0612-6

Collet P, Dunlop F, Huillet T. 
Wetting Transitions for a Random Line in Long-Range Potential.
Journal of Statistical Physics 2015;160(6):1545-1622.
DOI: 10.1007/s10955-015-1296-8

Lundberg B, Collet P. 
Optimal wave shape with respect to efficiency in percussive drilling with detachable drill bit.
International Journal of Impact Engineering 2015;86:179-187.
DOI: 10.1016/j.ijimpeng.2015.06.021


Collet P., Eckman J. P.
Concepts and results in chaotic dynamics : a short course. - Springer, 2006. 987-3-540-34705-7

Collet P.
Some aspects of the central limit theorem and related topics. Harmonic Analysis and Rational Approximation: Their Roles in Signals, Control and Dynamical Systems. - Springer, 2006. - (Volume 327, Lecture Notes in Control and Information Sciences; 327). p 105-127.