17 citations · 92 across the 15 of their papers we have counts for
4 papers · 1 filter
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…