Spectrum of a Feinberg-Zee random hopping matrix

DOI10.4171/JST/25zbMath1262.15007arXiv1110.0792OpenAlexW2165566214MaRDI QIDQ421852

Simon N. Chandler-Wilde, E. Brian Davies

Publication date: 14 May 2012

Published in: Journal of Spectral Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1110.0792

zbMATH Keywords

spectrumrandom matrixtridiagonal matrixinfinite matrixnon-self-adjoint matrixrandom hopping model

Mathematics Subject Classification ID

Random matrices (probabilistic aspects) (60B20) Eigenvalues, singular values, and eigenvectors (15A18) Spectrum, resolvent (47A10) Random matrices (algebraic aspects) (15B52) Random linear operators (47B80)

Related Items (11)

On the spectrum and numerical range of tridiagonal random operators ⋮ A class of tridiagonal operators associated to some subshifts ⋮ Spectral properties of non-unitary band matrices ⋮ Coburn's lemma and the finite section method for random Jacobi operators ⋮ Spectral approximation of generalized Schrödinger operators via approximation of subwords ⋮ The numerical range of a periodic tridiagonal operator reduces to the numerical range of a finite matrix ⋮ Pseudoergodic operators and periodic boundary conditions ⋮ The numerical range of a class of periodic tridiagonal operators ⋮ The numerical range of some periodic tridiagonal operators is the convex hull of the numerical ranges of two finite matrices ⋮ THE FINITE SECTION METHOD FOR DISSIPATIVE OPERATORS ⋮ The eigenvalues of tridiagonal sign matrices are dense in the spectra of periodic tridiagonal sign operators

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