Conference - Multiscale problems in mathematical physics

Monday, June 14, 2021 - 09:15 to 10:10
Nikolay Tzvetkov
University of Cery-Pontoise
Transport of gaussian measures under the flow of Hamiltonian PDE's

The transport of gaussian measures under transformations in an infinite dimensional space is a delicate issue as shown by the classical Cameron-Martin theorem (1944). We will show that a natural class of gaussian measures, invariant under the flow of linear Hamiltonian PDE's, remain quasi-invariant under nonlinear (Hamiltonian) perturbations. We will also identify the Radon-Nikodym derivative by using some hidden cancellations. We will make an attempt to keep the presentation at a non technical level by probably sacrificing a little rigor.

Partners

Irmar LMJL ENS Rennes LMBA LAREMA

Affiliation

ANR CNRS Rennes 1 Rennes 2 Nantes INSA Rennes INRIA ENSRennes UBO UBS Angers UBL