63 citations · 837 across the 76 of their papers we have counts for
28 papers · 1 filter
Glivenko-Cantelli Theory, Ornstein-Weiss quasi-tilings, and uniform Ergodic Theorems for distribution-valued fields over amenable groups
Christoph Schumacher, Fabian Schwarzenberger, Ivan Veselic
We consider random fields indexed by finite subsets of an amenable discrete group, taking values in the Banach-space of bounded right-continuous functions. The field is assumed to…
Lifshitz tails for Schrödinger operators with random breather potential
Christoph Schumacher, Ivan Veselic
We prove a Lifshitz tail bound on the integrated density of states of random breather Schrödinger operators. The potential is composed of translated single site potentials. The sin…
Unique continuation principles and their absence for Schrödinger eigenfunctions on combinatorial and quantum graphs and in continuum space
Norbert Peyerimhoff, Matthias Täufer, Ivan Veselic
For the analysis of the Schrödinger and related equations it is of central importance whether a unique continuation principle (UCP) holds or not. In continuum Euclidean space quant…
Wegner estimate for Landau-breather Hamiltonians
Matthias Täufer, Ivan Veselic
We consider Landau Hamiltonians with a weak coupling random electric potential of breather type. Under appropriate assumptions we prove a Wegner estimate. It implies the Hoelder co…
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…
Anderson localization for a class of models with a sign-indefinite single-site potential via fractional moment method
Alexander Elgart, Martin Tautenhahn, Ivan Veselic'
A technically convenient signature of Anderson localization is exponential decay of the fractional moments of the Green function within appropriate energy ranges. We consider a ran…