Recent probabilistic results on covariant Schrödinger operators on infinite weighted graphs

Abstract

We review recent probabilistic results on covariant Schrödinger operators on vector bundles over (possibly locally infinite) weighted graphs, and explain applications like semiclassical limits. We also clarify the relationship between these results and their formal analogues on smooth (possibly noncompact) Riemannian manifolds.

To appear in the conference proceedings for QMATH 12