caa a22 4500 467892326 CHVBK 20180406152752.0 cr unu---uuuuu 170328e20060101xx s 000 0 eng 10.1007/s10955-005-8068-9 doi (NATIONALLICENCE)springer-10.1007/s10955-005-8068-9 New Characterizations of the Region of Complete Localization for Random Schrödinger Operators [Elektronische Daten] [Francois Germinet, Abel Klein] We study the region of complete localization in a class of random operators which includes random Schrödinger operators with Anderson-type potentials and classical wave operators in random media, as well as the Anderson tight-binding model. We establish new characterizations or criteria for this region of complete localization, given either by the decay of eigenfunction correlations or by the decay of Fermi projections. (These are necessary and sufficient conditions for the random operator to exhibit complete localization in this energy region.) Using the first type of characterization we prove that in the region of complete localization the random operator has eigenvalues with finite multiplicity. Springer Science + Business Media, Inc., 2006 Germinet Francois Département de Mathématiques, Université de Cergy-Pontoise, Site de Saint-Martin, 2 avenue Adolphe Chauvin, 95302, Cergy-Pontoise cedex, France aut Klein Abel Département de Mathématiques, Université de Cergy-Pontoise, Site de Saint-Martin, 2 avenue Adolphe Chauvin, 95302, Cergy-Pontoise cedex, France aut Journal of Statistical Physics Kluwer Academic Publishers-Plenum Publishers 122/1(2006-01-01), 73-94 0022-4715 122:1<73 2006 122 10955 https://doi.org/10.1007/s10955-005-8068-9 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10955-005-8068-9 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Germinet Francois Département de Mathématiques, Université de Cergy-Pontoise, Site de Saint-Martin, 2 avenue Adolphe Chauvin, 95302, Cergy-Pontoise cedex, France aut NATIONALLICENCE 700 1- Klein Abel Département de Mathématiques, Université de Cergy-Pontoise, Site de Saint-Martin, 2 avenue Adolphe Chauvin, 95302, Cergy-Pontoise cedex, France aut NATIONALLICENCE 773 0- Journal of Statistical Physics Kluwer Academic Publishers-Plenum Publishers 122/1(2006-01-01), 73-94 0022-4715 122:1<73 2006 122 10955 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer