Transport of Gaussian measures under the flow of Hamiltonian PDEs: quasi-invariance and singularity
24 septembre 2024 @ 09:15 – 10:15 – In this talk, we consider the Cauchy problem for the fractional NLS with cubic nonlinearity (FNLS), posed on the one-dimensional torus T, subject to initial data distributed according to a family of Gaussian measures. We first discuss how the flow of Hamiltonian equations transports these Gaussian measures. When the transported measure is absolutely continuous with […]