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.
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Communicated by Frank den Hollander.
Submitted: December 12, 2005; Revised: April 22, 2006; Accepted: May 3, 2006
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Killip, R., Nakano, F. Eigenfunction Statistics in the Localized Anderson Model. Ann. Henri Poincaré 8, 27–36 (2007). https://doi.org/10.1007/s00023-006-0298-0
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DOI: https://doi.org/10.1007/s00023-006-0298-0