22 citations · 50 across the 9 of their papers we have counts for
9 papers
The curious spectra and dynamics of non-locally finite crystals
Joachim Kerner, Olaf Post, Mostafa Sabri +1
This paper is devoted to the investigation of the spectral theory and dynamical properties of periodic graphs which are not locally finite but carry non-negative, symmetric and sum…
Magnetic Bernstein inequalities and spectral inequality on thick sets for the Landau operator
Paul Pfeiffer, Matthias Täufer
We prove a spectral inequality for the Landau operator. This means that for all in the spectral subspace corresponding to energies up to , the -integral over suitable $…
Wegner estimate and localisation for alloy type operators with minimal support assumptions on the single site potential
Matthias Täufer, Ivan Veselic
We prove a Wegner estimate for alloy type models merely assuming that the single site potential is lower bounded by a characteristic function of a thick set, that is a particular s…
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…
Quantum Hamiltonians with weak random abstract perturbation. II. Localization in the expanded spectrum
Denis Borisov, Matthias Täufer, Ivan Veselic
We consider multi-dimensional Schrödinger operators with a weak random perturbation distributed in the cells of some periodic lattice. In every cell the perturbation is described b…
Band edge localization beyond regular Floquet eigenvalues
Albrecht Seelmann, Matthias Täufer
We prove that localization near band edges of multi-dimensional ergodic random Schrödinger operators with periodic background potential in is universal. By this…
Sharp estimates and homogenization of the control cost of the heat equation on large domains
Ivica Nakić, Matthias Täufer, Martin Tautenhahn +1
We prove new bounds on the control cost for the abstract heat equation, assuming a spectral inequality or uncertainty relation for spectral projectors. In particular, we specify qu…
Wegner estimate and disorder dependence for alloy-type Hamiltonians with bounded magnetic potential
Matthias Täufer, Martin Tautenhahn
We consider non-ergodic magnetic random Schödinger operators with a bounded magnetic vector potential. We prove an optimal Wegner estimate valid at all energies. The proof is an ad…
Conditional Wegner estimate for the standard random breather potential
Matthias Täufer, Ivan Veselic
We prove a conditional Wegner estimate for Schrödinger operators with random potentials of breather type. More precisely, we reduce the proof of the Wegner estimate to a scale free…