Special Session 161: DYNAMICS AND SPECTRUM OF QUASIPERIODIC SCHRODINGER OPERATORS

Localization and spectral gaps for quasiperiodic operators with monotone potentials
Ilya Kachkovskiy
Michigan State University
USA
Co-Author(s):    Svetlana Jitomirskaya, Leonid Parnovski, Roman Shterenberg
Abstract:
In this talk, we will discuss recent advances in perturbative Anderson localization for quasiperiodic Schr\odinger operators, as well as methods based on rank one perturbation theory that allows to predict existence of spectral gaps and Cantor structure in their spectra. Based on joint papers with Svetlana Jitomirskaya, Leonid Parnovski, Roman Shterenberg.