3 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.AP2025
Sampling and equidistribution theorems for elliptic second order operators, lifting of eigenvalues, and applications
Martin Tautenhahn, Ivan Veselic
We consider elliptic second order partial differential operators with Lipschitz continuous leading order coefficients on finite cubes and the whole Euclidean space. We prove quanti…
math.AP2024
Spherical Logvinenko-Sereda-Kovrijkine type inequality and null-controllability of the heat equation on the sphere
Alexander Dicke, Ivan Veselic
It is shown that the restriction of a polynomial to a sphere satisfies a Logvinenko-Sereda-Kovrijkine type inequality (a specific type of uncertainty relation). This implies a spec…