Spectrum of a Feinberg–Zee random hopping matrix
Copyright policy )Spectrum of a Feinberg–Zee random hopping matrix
This paper provides a new proof of a theorem of Chandler-Wilde, Chonchaiya, and Lindner that the spectra of a certain class of infinite, random, tridiagonal matrices contain the unit disc almost surely. It also obtains an analogous result for a more general class of random matrices whose spectra contain a hole around the origin. The presence of the hole forces substantial changes to the analysis.
- University of Reading United Kingdom
- Kings College London, University of London United Kingdom
- King's College London United Kingdom
Eigenvalues, singular values, and eigenvectors, Random matrices (algebraic aspects), random matrix, FOS: Physical sciences, Mathematical Physics (math-ph), spectrum, random hopping model, Mathematics - Spectral Theory, Random matrices (probabilistic aspects), non-self-adjoint matrix, FOS: Mathematics, Spectrum, resolvent, infinite matrix, Random linear operators, Spectral Theory (math.SP), tridiagonal matrix, Mathematical Physics, 65F15, 15A18, 15A52, 47A10, 47A75, 47B80, 60H25
Eigenvalues, singular values, and eigenvectors, Random matrices (algebraic aspects), random matrix, FOS: Physical sciences, Mathematical Physics (math-ph), spectrum, random hopping model, Mathematics - Spectral Theory, Random matrices (probabilistic aspects), non-self-adjoint matrix, FOS: Mathematics, Spectrum, resolvent, infinite matrix, Random linear operators, Spectral Theory (math.SP), tridiagonal matrix, Mathematical Physics, 65F15, 15A18, 15A52, 47A10, 47A75, 47B80, 60H25
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