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COLLET Pierre
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@cpht.polytechnique.fr |
| Office | Bât. 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)
Latest publications
Boehnke L., Hafermann H., Ferrero M., Lechermann F., Parcollet O.
Orthogonal polynomial representation of imaginary-time Green’s functions.
Physical Review B 84(7) : 075145 (2011)
Bonnano C., Chazottes J. R., Collet P.
Estimates of Kolmogorov complexity in approximating Cantor sets.
Nonlinearity 24(2) : 459-479 (2011)
Mounaix P., Collet P.
Linear Amplifier Breakdown and Concentration Properties of a Gaussian Field Given that its L(2)-Norm is Large.
Journal of Statistical Physics 143(1) : 139-147 (2011)
Books
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.
