On multiplicity of spectrum for Anderson type operators with higher rank perturbations

DOI10.7153/oam-2019-13-52OpenAlexW2974754050MaRDI QIDQ5205412

Anish Mallick, P. A. Narayanan

Publication date: 11 December 2019

Published in: Operators and Matrices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1808.05820

zbMATH Keywords

Anderson modelspectrumdifference operator

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Linear difference operators (47B39)

Related Items (2)

Global multiplicity bounds and spectral statistics for random operators ⋮ Decorrelation estimates for random Schrödinger operators with non rank one perturbations

Cites Work

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• Eigenvalue statistics for random Schrödinger operators with non rank one perturbations
• Multiplicity bound of singular spectrum for higher rank Anderson models
• Random Dirac operators with time reversal symmetry
• Spectral structure of Anderson type Hamiltonians
• Simplicity of eigenvalues in Anderson-type models
• The Canophy graph and level statistics for random operators on trees
• Simplicity of eigenvalues in the Anderson model
• Simplicity of singular spectrum in Anderson-type Hamiltonians
• Jakšić-Last theorem for higher rank perturbations
• An Invitation to Random Schroedinger operators
• CYCLIC VECTORS IN THE ANDERSON MODEL

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