Hardy weights and the Green function on graphs

04.06.2025, 13:00  –  Haus 9, Raum 0.17 und Zoom
Forschungsseminar Diskrete Spektraltheorie

Philipp Hake (Leipzig)

Abstract: In this talk, we study Hardy weights and the Green function on graphs and how they relate to each other. In particular, we show that every ground state of a critical Hardy weight arises from a convolution with the Green function. Furthermore, we prove a characterization of positive-critical Hardy weights in terms of the Green function.