Display Abstract

Title Spectra of Random Operators with absolutely continuous Integrated Density of States

Name Rafael del Rio
Country Mexico
Email delriomagia@gmail.com
Co-Author(s)
Submit Time 2014-02-27 20:47:20
Session
Special Session 26: Dynamical systems and spectral theory
Contents
The structure of the spectrum of random operators is studied. It is shown that if the density of states measure of some subsets of the spectrum is zero, then these subsets are empty. In particular follows that absolute continuity of the IDS implies singular spectra of ergodic operators is either empty or of positive measure. Our results apply to Anderson and alloy type models, perturbed Landau Hamiltonians, almost periodic potentials and models which are not ergodic.