5 citations · 16 across the 5 of their papers we have counts for
5 papers
On multiplicity of spectrum for Anderson type operators with higher rank perturbations
Anish Mallick, P A Narayanan
Here, we focus on Anderson type operators over infinite graphs where the randomness acts through higher rank perturbations. We show that for special family of graphs, the operator…
Level spacing and Poisson statistics for continuum random Schrödinger operators
Adrian Dietlein, Alexander Elgart
We prove a probabilistic level-spacing estimate at the bottom of the spectrum for continuum alloy-type random Schrödinger operators, assuming sign-definiteness of a single-site bum…
Full Szegő-type trace asymptotics for ergodic operators on large boxes
Adrian Dietlein
We prove full Szegő-type large-box trace asymptotics for selfadjoint -ergodic operators acting on . More precisely, let be…
Perturbations of continuum random Schrödinger operators with applications to Anderson orthogonality and the spectral shift function
Adrian Dietlein, Martin Gebert, Peter Müller
We study effects of a bounded and compactly supported perturbation on multi-dimensional continuum random Schrödinger operators in the region of complete localisation. Our main emph…
A bound on the averaged spectral shift function and a lower bound on the density of states for random Schrödinger operators on
Adrian Dietlein, Martin Gebert, Peter D. Hislop +2
We obtain a bound on the expectation of the spectral shift function for alloy-type random Schrödinger operators on in the region of localisation, corresponding to a…