Séminaire des Doctorants et Doctorantes

Evolution of Gaussian Measures under the Dynamics of Dispersive Hamiltonian Equations

par Alexis Knezevitch

Europe/Paris
S435 (UMPA)

S435

UMPA

Description

In this talk, we present an overview and some intuition on the behavior of Gaussian measures when they are transported along the flow of dispersive Hamiltonian equations. The study of these measures provides a statistical description of the solutions to such equations. In connection with this year’s agrégation topic, we will focus in particular on a dynamic related to the discrete Laplacian.