Scattering zippers and their spectral theory
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Publication:1943724
DOI10.4171/JST/37zbMath1288.47011arXiv1112.4959MaRDI QIDQ1943724
Hermann Schulz-Baldes, Laurent Marin
Publication date: 20 March 2013
Published in: Journal of Spectral Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1112.4959
Sturm-Liouville theory (34B24) Spectrum, resolvent (47A10) Weyl theory and its generalizations for ordinary differential equations (34B20) Scattering theory of linear operators (47A40)
Related Items (7)
Spectral stability of unitary network models ⋮ Localization for random quasi-one-dimensional models ⋮ A remark on the discriminant of Hill's equation and Herglotz functions ⋮ Analyticity properties of the scattering matrix for matrix Schrödinger operators on the discrete line ⋮ Absence of absolutely continuous spectrum for random scattering zippers ⋮ Spreading estimates for quantum walks on the integer lattice via power-law bounds on transfer matrices ⋮ Purely singular continuous spectrum for Sturmian CMV matrices via strengthened Gordon Lemmas
Cites Work
- Localization properties of the Chalker-Coddington model
- Sturm intersection theory for periodic Jacobi matrices and linear Hamiltonian systems
- Geometry of Weyl theory for Jacobi matrices with matrix entries
- The classical moment problem as a self-adjoint finite difference operator
- Spectral analysis of unitary band matrices
- Five-diagonal matrices and zeros of orthogonal polynomials on the unit circle
- The Analytic Theory of Matrix Orthogonal Polynomials
- Weyl-Titchmarsh theory and Borg-Marchenko-type uniqueness results for CMV operators with matrix-valued Verblunsky coefficients
- Szegö difference equations, transfer matrices and orthogonal polynomials on the unit circle
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