Eigenfunction Statistics in the Localized Anderson Model |
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| Authors: | Rowan Killip Fumihiko Nakano |
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| Affiliation: | (1) Mathematics Department, UCLA, Box 951555, Los Angeles, CA 90095, USA;(2) Faculty of Science, Department of Mathematics and Information Science, Kochi University, 2-5-1, Akebonomachi, J-780-8520 Kochi, Japan |
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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, [9], which proves repulsion of the localization centres in a subtly different regime. Submitted: December 12, 2005; Revised: April 22, 2006; Accepted: May 3, 2006 |
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