17 citations · 92 across the 15 of their papers we have counts for
6 papers · 1 filter
Expansion of the almost sure spectrum in the weak disorder regime
Denis Borisov, Francisco Hoecker-Escuti, Ivan Veselić
The spectrum of random ergodic Schrödinger-type operators is almost surely a deterministic subset of the real line. The random operator can be considered as a perturbation of a per…
Discrete alloy-type models: Regularity of distributions and recent results
Martin Tautenhahn, Ivan Veselić
We consider discrete random Schrödinger operators on with a potential of discrete alloy-type structure. That is, the potential at lattice site $x \in \mathb…
Lifshitz asymptotics for percolation Hamiltonians
Reza Samavat, Peter Stollmann, Ivan Veselić
We study a discrete Laplace operator on percolation subgraphs of an infinite graph. The ball volume is assumed to grow at most polynomially. We are interested in the behavior o…
Unbounded quantum graphs with unbounded boundary conditions
Daniel Lenz, Carsten Schubert, Ivan Veselić
We consider metric graphs with a uniform lower bound on the edge lengths but no further restrictions. We discuss how to describe every local self-adjoint Laplace operator on such g…
Discrete Schrödinger operators with random alloy-type potential
Alexander Elgart, Helge Krüger, Martin Tautenhahn +1
We review recent results on localization for discrete alloy-type models based on the multiscale analysis and the fractional moment method, respectively. The discrete alloy-type mod…
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…