Centre de Physique Théorique - UMR 7644

Directeur de recherche au CNRS

Equipe de recherche : Physique mathématique

Recherches actuelles

 Systèmes dynamiques basse dimension (propriétés statistiques, complexité, chaos).

 Systèmes dynamiques étendus (dimension, entropie).

 Processus stochastiques (mesures quasi invariantes, théorèmes limites de rapport, aspects statistiques).

 Mécanique statistique (propriétés de concentration, fluctuations).

 Mécanique des milieux continus (barres de Hopkinson, analyse des signaux, propriétés des matériaux).

Sélection d’articles

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)

Articles récents

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)

Ouvrages

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.