22 citations · 98 across the 12 of their papers we have counts for
5 papers · 1 filter
Lifshitz asymptotics and localization for random breather models
Christoph Schumacher, Ivan Veselic
We prove Lifshitz behavior at the bottom of the spectrum for non--negative random potentials, i.\,e.\ show that the IDS is exponentially small at low energies. The theory is develo…
Spectral localization for quantum Hamiltonians with weak random delta interaction
Denis I. Borisov, Matthias Taeufer, Ivan Veselic
We consider a negative Laplacian in multi-dimensional Euclidean space (or a multi-dimensional layer) with a weak disorder random perturbation. The perturbation consists of a sum of…
Unique continuation and lifting of spectral band edges of Schrödinger operators on unbounded domains (With an Appendix by Albrecht Seelmann)
Ivica Nakić, Matthias Täufer, Martin Tautenhahn +2
We prove and apply two theorems: First, a quantitative, scale-free unique continuation estimate for functions in a spectral subspace of a Schrödinger operator on a bounded or unbou…
Lifshitz asymptotics for Hamiltonians monotone in the randomness
Ivan Veselic'
In various aspects of the spectral analysis of random Schroedinger operators monotonicity with respect to the randomness plays a key role. In particular, both the continuity proper…
A linear Wegner estimate for alloy type Schroedinger operators on metric graphs
Mario Helm, Ivan Veselic'
We study spectra of alloy-type random Schrödinger operators on metric graphs. For finite edge subsets of general graphs we prove a Wegner estimate which is linear in the volume (i.…