Talk by Constanza Rojas-Molina

In this talk we review some results on random Schrödinger operators, a standard framework for the study of the absence of wave propagation in random media, a phenomenon known as Anderson localization. We focus on the case where the random medium is given by a random potential with aperiodic underlying structure, which breaks the ergodicity of the mode. We will see how information on the localization properties for these non-ergodic models can be applied to study the spectral and dynamical properties of Delone operators. The latter are deterministic models associated to aperiodic structures (quasi-crystals).

This is joint work with Peter Müller (LMU München).