17 citations · 92 across the 15 of their papers we have counts for
15 papers
Random walks across the sea: the origin of rogue waves?
Simon Birkholz, Carsten Brée, Ivan Veselić +2
Ocean rogue waves are large and suddenly appearing surface gravity waves, which may cause severe damage to ships and other maritime structures. Despite years of research, the exact…
Scale-free uncertainty principles and Wegner estimates for random breather potentials
Ivica Nakić, Matthias Täufer, Martin Tautenhahn +1
We present new scale-free quantitative unique continuation principles for Schrödinger operators. They apply to linear combinations of eigenfunctions corresponding to eigenvalues be…
Multiscale unique continuation properties of eigenfunctions
Denis Borisov, Ivica Nakić, Christian Rose +2
Quantitative unique continuation principles for multiscale structures are an important ingredient in a number applications, e.g. random Schrödinger operators and control theory. We…
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…
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 $\ZZ^d$,…
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…
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…