Évènements

Nous donnerons une construction de pavages de type Penrose dans le cas hyperbolique utilisant les pavages par substitutions classiques. Nous expliciterons les objets que l’on peut associer à  ces pavages et les relierons aux objets classiques de la théorie des pavages par substitutions dans l’optique du calcul de la K-théorie associée à  cette construction.

The Hartree equation is an important example of nonlinear Schrödinger evolution. It can be derived as the mean field limit of a system of many non-relativistic bosons with pair interaction. Such a limit is now well understood for a wide class of interaction potentials and initial quantum configurations. The model has many physical applications, e.g. in studying Bose-Einstein condensation. It is thus important to have a control of the rate of convergence towards the limiting dynamics, for it would give a quantification of the error caused by the approximation of many particles with an infinite number of them. In this talk I will present a recent result, obtained with Z. Ammari and B. Pawilowski, where we provide bounds for the rate of convergence towards the Hartree dynamics for generic many-body initial quantum states.