2 citations · 5 across the 9 of their papers we have counts for
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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…
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…
Spectral Instability of Random Fredholm Operators
Simon Becker, Izak Oltman, Martin Vogel
If is an unbounded Fredholm operator of index on a Hilbert space with a dense domain , then its spectrum…
A probabilistic Weyl-law for perturbed Berezin-Toeplitz operators
Izak Oltman
This paper proves a probabilistic Weyl-law for the spectrum of randomly perturbed Berezin-Toeplitz operators, generalizing a result proven by Martin Vogel in 2020. This is done fol…