17 citations · 92 across the 15 of their papers we have counts for
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Spectral properties of discrete alloy-type models
Martin Tautenhahn, Ivan Veselić
We discuss recent results on spectral properties of discrete alloy-type random Schrödinger operators. They concern Wegner estimates and bounds on the fractional moments of the Gree…
-approximation of the integrated density of states for Schrödinger operators with finite local complexity
Michael J. Gruber, Daniel H. Lenz, Ivan Veselić
We study spectral properties of Schrödinger operators on $\RR^d$. The electromagnetic potential is assumed to be determined locally by a colouring of the lattice points in $\ZZ^d$,…
The modulus of continuity of Wegner estimates for random Schrödinger operators on metric graphs
Michael J. Gruber, Ivan Veselić
We consider an alloy type potential on an infinite metric graph. We assume a covering condition on the single site potentials. For random Schrödingers operator associated with the…
Spectral asymptotics of percolation Hamiltonians on amenable Cayley graphs
Tonći Antunović, Ivan Veselić
In this paper we study spectral properties of adjacency and Laplace operators on percolation subgraphs of Cayley graphs of amenable, finitely generated groups. In particular we des…
Equality of Lifshitz and van Hove exponents on amenable Cayley graphs
Tonći Antunović, Ivan Veselić
We study the low energy asymptotics of periodic and random Laplace operators on Cayley graphs of amenable, finitely generated groups. For the periodic operator the asymptotics is c…
Uniform existence of the integrated density of states for random Schrödinger operators on metric graphs over
Michael J. Gruber, Daniel H. Lenz, Ivan Veselić
We consider ergodic random magnetic Schrödinger operators on the metric graph with random potentials and random boundary conditions taking values in a finite set. We…