Abstract: We review various properties of random Schrödinger operators
and recall formulations of conductivity and current-current correlation measure.
In this talk we will present a panoramic view and recent results on localized regime. We will focus in particular on the diagonal behaviour problem of the ccc-measure and explain how it is related to the localization length.
This is a work in progress with J. Bellissard and G. De Nettis.