Random Schrödinger Operators arising in aperiodic media

Constanza Rojas-Molina, University of Düsseldorf, Germany

Abstract

In this talk we discuss how random Schrödinger operators appear naturally as auxiliary models to study Anderson localization in aperiodic media. We work within the framework of Delone operators, which we associate to Anderson-type operators with Bernoulli random variables, and discuss the proof of localization, and its consequences on the spectral type of Delone operators near the bottom of the spectrum. This is joint work with Peter Müller (Munich).