42 citations · 64 across the 14 of their papers we have counts for
14 papers
Quantitative concentration inequalities for the uniform approximation of the IDS
Max Kämper, Christoph Schumacher, Fabian Schwarzenberger +1
The integrated density of states (IDS) is a fundamental spectral quantity for quantum Hamiltonians modeling condensed matter systems, describing how densely energy levels are distr…
Twice Fourier transformable measures and diffraction theory
Hans G. Feichtinger, Christoph Richard, Christoph Schumacher +1
Mathematical diffraction theory has been developed since about 1995. Hof's initial approach relied on tempered distributions in euclidean space. Nowadays often the Fourier theory b…
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…
The Statistics of Noisy One-Stage Group Testing in Outbreaks
Christoph Schumacher, Matthias Täufer
In one-stage or non-adaptive group testing, instead of testing every sample unit individually, they are split, bundled in pools, and simultaneously tested. The results are then dec…
Uniform existence of the IDS on lattices and groups
Christoph Schumacher, Fabian Schwarzenberger, Ivan Veselic
We present a general framework for thermodynamic limits and its applications to a variety of models. In particular we will identify criteria such that the limits are uniform in a p…
On sampling and interpolation by model sets
Christoph Richard, Christoph Schumacher
We refine a result of Matei and Meyer on stable sampling and stable interpolation for simple model sets. Our setting is model sets in locally compact abelian groups and Fourier ana…