Continuity with respect to disorder of the integrated density of states

zbMath1091.47031arXivmath-ph/0409007MaRDI QIDQ819215

Jeffrey H. Schenker, Frédéric Klopp, Peter D. Hislop

Publication date: 28 March 2006

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0409007

zbMATH Keywords

convergenceintegrated density of statesrandom Schrödinger operatordisorder parameterlocally uniform Hölder continuity

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Random linear operators (47B80)

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Localization and IDS regularity in the disordered Hubbard model within Hartree-Fock theory ⋮ Dependence of the density of states outer measure on the potential for deterministic Schrödinger operators on graphs with applications to ergodic and random models

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