Integrated density of states of Schroedinger operators with periodic or almost-periodic potentials.
Leonid Parnovski, University College London
I will discuss recent results on the asymptotic behaviour of the integrated density of states. In particular, we have proved the existence of a complete polynomial asymptotics of the density of states when the potential is either smooth periodic, or generic quasi-periodic (finite linear combination of exponentials), or belongs to a wide class of almost-periodic functions. This is a joint work with Roman Shterenberg (Birmingham Alabama).