Caught by Disorder: Bound States in Random Media

Bound states versus extended states ergodic operator families - definition and abstract theory some important examples our basic models (P+A) and (DIV) localization and Lifshitz tails -the heuristic picture Lifshitz tails for (P+A) initial length tail estimates Wegener estimates Combes-Thomas estimates changing cubes idea of the proof of localization and historical notes multi-scale analysis exponential localization dynamical localization more models appendix - a short story of selfadjoint operators aftermath.