17 citations · 92 across the 15 of their papers we have counts for
4 papers · 1 filter
Uniform existence of the integrated density of states for combinatorial and metric graphs over Z^d
Michael J. Gruber, Daniel H. Lenz, Ivan Veselić
We give an overview and extension of recent results on ergodic random Schrödinger operators for models on . The operators we consider are defined on combinatorial or…
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…