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math.SP2026
The Spectrum of the Discrete Mathieu Operator with Nonreal Coupling
Frédéric Klopp, Izak Oltman
We study the discrete Mathieu operator with nonreal coupling in the large-period limit, using complex WKB methods for analytic finite-difference equations. We obtain quantization f…
math.SP2026
Spectra of Non-Self-Adjoint Almost Mathieu Matrices and the Scottish Flag Operator
Simon Becker, Izak Oltman
For and a potential phase , we study the non-self-adjoint almost Mathieu matrix obtained by multiplying the discrete Laplacian by a complex phase…