- 06-150 Rowan Killip and Fumihiko Nakano
- Eigenfunction statistics in the localized Anderson model
May 8, 06
(auto. generated ps),
of related papers
Abstract. We consider the localized region of the Anderson model and study the distribution of eigenfunctions simultaneously in space and energy. In a natural scaling limit, we prove convergence to a Poisson process. This provides a counterpoint to recent work, which proves repulsion of the localization centres in a subtly different regime.