Statistics of eigenvectors in random matrix ensembles and Anderson model
Speaker: Alexander Ossipov
Title: Statistics of eigenvectors in random matrix ensembles and Anderson model
Abstract: In the first part of the talk I will present some recent results on statistical properties of the eigenvectors in two different random matrix models. These models can be considered as simple deformations of the Gaussian Unitary Ensemble with the broken unitary invariance, which leads to appearance of the eigenvectors with non-trivial properties. In the second part I will focus on a new approach to Anderson localisation problem. I will explain briefly the main idea of the method, which should provide an analytical solution to higher dimensional Anderson model.