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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…
math.SP2012★ 1 cited
Approximation of the integrated density of states on sofic groups
Christoph Schumacher, Fabian Schwarzenberger
In this paper we study spectral properties of self-adjoint operators on a large class of geometries given via sofic groups. We prove that the associated integrated densities of sta…