Kihoon Seong (KAIST)
Monday, January 17, 2022 - 13:00
Virtual event (Videobroadcast) - link for registration
Max-Planck-Institut fuer Mathematik in den Naturwissenschaften, 04103 Leipzig
We study the Gibbs measure with log-correlated base Gaussian fields on the d-dimensional torus. When d = 2, the Gibbs measure corresponds to the well-studied Phi^k_2-measure. We first discuss the (non-)construction of the focusing Gibbs measure. As a Hamiltonian PDE system corresponding to the Gibbs measure, we consider the Zakharov-Yukawa system (Schr¨odinger-wave system with a Zakharov-type coupling) on the two-dimensional torus. We then present a phase transition and invariance of the Gibbs measure under the flow. This is based on joint work with Tadahiro Oh (University of Edinburgh) and Leonardo Tolomeo (University of Bonn).
submitted by Katja Heid (Katja.Heid@mis.mpg.de, 0341 9959 50)