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Eigensystem bootstrap multiscale analysis for the Anderson model. (English) Zbl 1403.82012

The authors use a bootstrap argument to enhance the eigensystem multiscale analysis for the Anderson model. This yields exponential localization of finite volume eigenfunctions in boxes, with the eigenvalues and eigenfunctions labeled by the sites of the box.

MSC:

82B44 Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics
47B80 Random linear operators
60H25 Random operators and equations (aspects of stochastic analysis)
81Q10 Selfadjoint operator theory in quantum theory, including spectral analysis
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