High energy asymptotics of integrated density of states for multidimensional (almost-)periodic operators

I will review some recent results and techniques concerning complete asymptotic expansion of the integrated density of states for large values of energy parameter. The results are valid for a large class of periodic and almost-periodic multidimensional selfadjoint operators. In particular, the case of magnetic Schrödinger operators will be considered.

The talk is based on a joint work with Leonid Parnovski and Roman Shterenberg.