A NOTE ON THE SPECTRUM OF BI-INFINITE BI-DIAGONAL RANDOM MATRICES

DOI10.1142/S0219530509001396zbMath1181.47042MaRDI QIDQ3395342

Marko Lindner

Publication date: 26 August 2009

Published in: Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

spectral theoryrandom matrixJacobi matrixoperators on \(\ell ^{p}\)

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Random matrices (algebraic aspects) (15B52) Random linear operators (47B80) Jacobi (tridiagonal) operators (matrices) and generalizations (47B36)

Related Items (4)

Coburn's lemma and the finite section method for random Jacobi operators ⋮ Spectral approximation of generalized Schrödinger operators via approximation of subwords ⋮ Pseudoergodic operators and periodic boundary conditions ⋮ Limit operators, collective compactness, and the spectral theory of infinite matrices

Uses Software

• Eigtool

Cites Work

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• Fredholm theory and finite section method for band-dominated operators
• Non-Hermitean delocalization: multiple scattering and bounds
• Spectral curves of non-Hermitian Hamiltonians
• Classes of multiplication operators and their limit operators
• Sufficiency of Favard's condition for a class of band-dominated operators on the axis
• Spectra, pseudospectra, and localization for random bidiagonal matrices
• Spectral properties of random non-self-adjoint matrices and operators
• “Single ring theorem” and the disk-annulus phase transition
• Non-Hermitian random matrix theory: summation of planar diagrams, the ‘single-ring’ theorem and the disc–annulus phase transition
• Spectral theory of pseudo-ergodic operators.

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