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math.AP2021
Uncertainty relations and applications in spectral and control theory
Ivan Veselic
This is an extended abstract for the Oberwolfach Workshop 2101b \emph{Geometry, Dynamics and Spectrum of Operators on Discrete Spaces} organized by David Damanik, Matthias Keller,…
math.SP2021
Lifshitz asymptotics and localization for random breather models
Christoph Schumacher, Ivan Veselic
We prove Lifshitz behavior at the bottom of the spectrum for non--negative random potentials, i.\,e.\ show that the IDS is exponentially small at low energies. The theory is develo…