On the Probability of the Existenceof a Localized Basic State for a Discrete Schrödinger Equation with Random Potential, Perturbed by a Compact Operator

DOI10.1137/S0040585X97976775zbMath0928.60055OpenAlexW1982845980MaRDI QIDQ4252986

Sergey V. Savchenko

Publication date: 23 June 1999

Published in: Theory of Probability & Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0040585x97976775

zbMATH Keywords

translation-invariant measurebounded self-adjoint operatorindecomposable symmetric matrixAnderson's modelcompact diagonal operatordiscrete Schrödinger equation with random potentialoperator of rank one

Mathematics Subject Classification ID

Random operators and equations (aspects of stochastic analysis) (60H25) Probabilistic potential theory (60J45)

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