TY - JOUR
T1 - Eigenfunction statistics in the localized Anderson model
AU - Killip, Rowan
AU - Nakano, Fumihiko
N1 - Funding Information:
R. K. was supported in part, by NSF grant DMS-0401277 and a Sloan Foundation Fellowship. F. N. was supported in part by JSPS grant Kiban-C 18540125.
PY - 2007/2
Y1 - 2007/2
N2 - 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.
AB - 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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U2 - 10.1007/s00023-006-0298-0
DO - 10.1007/s00023-006-0298-0
M3 - Article
AN - SCOPUS:33847326432
SN - 1424-0637
VL - 8
SP - 27
EP - 36
JO - Annales Henri Poincare
JF - Annales Henri Poincare
IS - 1
ER -