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math.SP2024
Convergence of supercell and superspace methods for computing spectra of quasiperiodic operators
Bryn Davies, Clemens Thalhammer
We study the convergence of two of the most widely used and intuitive approaches for computing the spectra of differential operators with quasiperiodic coefficients: the supercell…
math-ph2024★ 1 cited
Spectra and pseudo-spectra of tridiagonal -Toeplitz matrices and the topological origin of the non-Hermitian skin effect
Habib Ammari, Silvio Barandun, Yannick De Bruijn +2
We establish new results on the spectra and pseudo-spectra of tridiagonal -Toeplitz operators and matrices. In particular, we prove the connection between the winding number of…