06-150 Rowan Killip and Fumihiko Nakano

Eigenfunction statistics in the localized Anderson model (26K, LaTeX) May 8, 06

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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.

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