M 511

Sturm-Liouville oscillation theory is studied for Jacobi operators with block entries given by elements of a unital C*-algebra. New results in this general framework are developed and eventually applied to certain high-dimensional random Schrödinger operators. It is shown that the integrated density of states of the Jacobi operator is approximated by a certain generalised winding number. These results are based on arXiv:1706.07498.

Julian Großmann

TU Hamburg-Harburg