2 papers
math.ST2026
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…
math-ph2024
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…