22 citations · 98 across the 14 of their papers we have counts for
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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.…
Spectral properties of Anderson-percolation Hamiltonians
Ivan Veselic'
This is a slightly enlarged and corrected version of a contribution to the Oberwolfach Reports 3(1):511-552, 2006. We summarise some results on spectral properties of Laplacians on…
Spectral gap of segments of periodic waveguides
Sylwia Kondej, Ivan Veselic'
We consider a periodic strip in the plane and the associated quantum waveguide with Dirichlet boundary conditions. We analyse finite segments of the waveguide consisting of per…
Lower bounds on the lowest spectral gap of singular potential Hamiltonians
Sylwia Kondej, Ivan Veselic'
We analyze Schrödinger operators whose potential is given by a singular interaction supported on a sub-manifold of the ambient space. Under the assumption that the operator has at…