Motivated by recent developments in singular SPDEs, Schrödinger operators with singular (Gaussian) random potentials have attracted much attention. In this talk, after reviewing previous results in this field, I will discuss simple construction of such Schrödinger operators, which is based on standard techniques of symmetric forms. Furthermore, I will discuss integrated densities of states of those operators with singular Gaussian potentials and their tail asymptotics.
2021/06/04 Fri 15:00 - 16:30
Berlin Free university