Abstract for the talk at 14.05.2012 (14:00 h)Special Seminar
Felix Pogorzelski (Universität Jena + MPI MIS, Leipzig)
The existence of the integrated density of states on amenable Cayley graphs
The talk is divided into two parts: at first, we explain a general, Banach space valued, ergodic theorem for an abstract class of functions which are defined on the space of finite subsets of some countable, amenable group. Secondly, we apply the latter result to show the uniform approximation of the integrated density of states for random Schrödinger operators on metric, amenable Cayley graphs.