n-Hierarchical Behavior of Solutions to the Maryland Equation in the Semiclassical Approximation

We describe a multiscale selfsimilar struture of solutions to one of the most popular models of the almost periodic operator theory, the difference Schroedinger equation with a potential of the form a ctg(b n+c), where a, b and c are constants, and n is an integer variable. The talk is based on a joint work with F.Klopp.