AG Mathematische Physik, Matthias Keller (Potsdam): On Landis conjecture for positive Schrödinger operators on graphs

Matthias Keller (Potsdam)

On Landis conjecture for positive Schrödinger operators on graphs

Abstract:
Landis conjecture is concerned with growth
bounds for harmonic functions of Schrödinger operator whose potential
in absolute value is bounded by one. We study this problem for real
potentials and positive Schrödinger operators on general graphs and in
the Euclidean lattice in particular. (This is joint work with Ujjal Das
and Yehuda Pinchover.)