Events for 04/29/2021 from all calendars

Mathematical Physics and Harmonic Analysis Seminar

Time: 11:00AM - 12:00PM

Location: Zoom

Speaker: Constanza Rojas-Molina, CY Cergy Paris Université

Title: Fractional random Schrödinger operators, integrated density of states and localization

Abstract: In this talk we will review some recent results on the fractional Anderson model, a random Schrödinger operator driven by a fractional laplacian. The interest on the latter lies in their association to stable Levy processes, random walks with long jumps and anomalous diffusion. We discuss in this talk the interplay between the non-locality of the fractional laplacian and the localization properties of the random potential in the fractional Anderson model, in both the continuous and discrete settings. In the discrete setting we study the integrated density of states and show a fractional version of Lifshitz tails. This coincides with results obtained in the continuous setting by the probability community. This is based on joint work with M. Gebert (LMU Munich).

Spectral Theory Reading Seminar

Time: 3:00PM - 4:00PM

Location: Zoom

Speaker: Lee Fisher

Title: