MSc Verteidigung - Graphs with Nilpotent Group Actions and their Drifts

20.03.2023, 14:00 Uhr  –  Campus Golm, Haus 9, Raum 2.22 + Zoom
Forschungsseminar Diskrete Spektraltheorie

Matti Richter (Potsdam)

Abstract: We study positive generalized eigenfunctions of Schrödinger operators associated to graphs with cocompact group actions of nilpotent groups. For such a graph, we investigate the topological structure of the family of multiplicative generalised eigenfunctions, which represent all other generalised eigenfunctions. We find that these solutions form a kind of paraboloid. Moreover, we investiage the drift of the graph and its connection to this paraboloid.