Transport properties of Gibbs and Gaussian measures under the flow of Hamiltonian PDEs

  • Kihoon Seong (MPI MiS, Leipzig)
E1 05 (Leibniz-Saal)


Transport properties of Gibbs measures under several dynamical systems have been studied in probability theory. In this talk, we study the Gibbs measure with log-correlated base Gaussian fields on functions/distributions. We first discuss the (non-)construction of the Gibbs measure and then study invariance, and quasi-invariance of the measures along the flow of dispersive Hamiltonian PDEs (like Schr¨odinger and wave equations).

Katharina Matschke

MPI for Mathematics in the Sciences Contact via Mail