On the Lipschitz continuity of the integrated density of states for sign-indefinite potentials

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dc.creatorKostrykin, Vadim
dc.creatorVeselic, Ivan
dc.date2004-08-06
dc.date2006-03-23
dc.date.accessioned2026-07-07T06:38:31Z
dc.date.available2026-07-07T06:38:31Z
dc.descriptionThe present paper is devoted to the study of spectral properties of random Schroedinger operators. Using a finite section method for Toeplitz matrices, we prove a Wegner estimate for some alloy type models where the single site potential is allowed to change sign. The results apply to the corresponding discrete model, too. In certain disorder regimes we are able to prove the Lipschitz continuity of the integrated density of states and/or localization near spectral edges.
dc.descriptionUses epic and eepic styles
dc.identifierhttps://arxiv.org/abs/math-ph/0408013
dc.identifierhttp://arxiv.org/abs/math-ph/0408013
dc.identifierMathematische Zeitschrift, vol. 252 (2006), 367 - 392
dc.identifierdoi:10.1007/s00209-005-0860-3
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/100761
dc.subjectMathematical Physics
dc.subjectFunctional Analysis
dc.subject35J10; 47B80; 82B44; 47B35
dc.titleOn the Lipschitz continuity of the integrated density of states for sign-indefinite potentials
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