Izak Oltman

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math.SP2026

Spectra of Non-Self-Adjoint Almost Mathieu Matrices and the Scottish Flag Operator

Simon Becker, Izak Oltman

For $N \geq 3$ and a potential phase $ϑ \in R$ , we study the non-self-adjoint almost Mathieu matrix obtained by multiplying the discrete Laplacian by a complex phase…

math.SP2025

Spectral Instability of Random Fredholm Operators

Simon Becker, Izak Oltman, Martin Vogel

If $A : D (A) \subset H \to H$ is an unbounded Fredholm operator of index $0$ on a Hilbert space $H$ with a dense domain $D (A)$ , then its spectrum…