Fluctuations of linear statistics for Schroedinger operators with a random
Linear statistics provide a tool for the analysis of fluctuations of random
measures and have been extensively studied for various models in random
matrix theory. In this talk we discuss the application of the same
philosophy to the analysis of the finite volume eigenvalue counting measure
of one dimensional Schroedinger operators and demonstrate it with some
interesting results in the case of a random decaying potential.
This is joint work with Jonathan Breuer and Moshe White.