4 papers
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…
The asymptotic structure of forward scattering
Nicholas Lohr, Izak Oltman, Ethan Sussman +1
Perturbed plane waves are fundamental objects in scattering theory on Euclidean space and asymptotically Euclidean spaces. In this paper, we investigate the structure of perturbed…
A Poisson Formula for the Wave Propagator on Schwarzschild-de Sitter Backgrounds
Izak Oltman, Ben Pineau
This paper proposes a Poisson formula for the wave propagator of the Schwarzschild--de Sitter (SdS) metric. That is done by proving a Poisson formula relating wave propagators and…
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…