63 citations · 837 across the 76 of their papers we have counts for
6 papers · 1 filter
Integrated density of states for random metrics on manifolds
Daniel Lenz, Norbert Peyerimhoff, Ivan Veselic'
We study ergodic random Schr"odinger operators on a covering manifold, where the randomness enters both via the potential and the metric. We prove measurability of the random opera…
Random Schr"odinger operators on manifolds
Daniel Lenz, Norbert Peyerimhoff, Ivan Veselic'
We consider a random family of Schrödinger operators on a cover of a compact Riemannian manifold . We present several results on their spectral theory, in particular a…
Integrated density of states for ergodic random Schrödinger operators on manifolds
Norbert Peyerimhoff, Ivan Veselić
We consider the Riemannian universal covering of a compact manifold and assume that is amenable. We show for an ergodic random family of Schrödinger operators on $X…
Existence of the density of states for some alloy type models with single site potentials of changing sign
Ivan Veselic'
We study spectral properties of ergodic random Schrödinger operators on $L^2 (\RR^d)$. The density of states is shown to exist for a certain class of alloy type potentials with sin…
Existence of the density of states for one-dimensional alloy-type potentials with small support
Werner Kirsch, Ivan Veselic'
We study spectral properties of Schrödinger operators with random potentials of alloy type on $L^2(\RR)$ and their restrictions to finite intervals. A Wegner estimate for non-negat…
Groupoids, von Neumann Algebras and the Integrated Density of States
D. Lenz, N. Peyerimhoff, I. Veselić
We study spectral properties of random operators in the general setting of groupoids and von Neumann algebras. In particular, we establish an explicit formula for the canonical tra…