Publications (7)
Multi-scale analysis implies strong dynamical localization
D. Damanik, P. Stollmann
We prove that a strong form of dynamical localization follows from a variable energy multi-scale analysis. This abstract result is applied to a number of models for wave propagatio…
Algebras of random operators associated to Delone dynamical systems
D. Lenz, P. Stollmann
We carry out a careful study of operator algebras associated with Delone dynamical systems. A von Neumann algebra is defined using noncommutative integration theory. Features of th…
Anderson localization in a two-particle continuous model with an alloy-type external potential
A. Boutet de Monvel, V. Chulaevsky, P. Stollmann +1
We establish exponential localization for a two-particle Anderson model in a Euclidean space , , in presence of a non-trivial short-range interaction and a…
Direct integrals and spectral averaging
M. Krishna, P. Stollmann
A one parameter family of selfadjoint operators gives rise to a corresponding direct integral. We show how to use the Putnam Kato theorem to obtain a new method for the proof of a…
Absence of continuous spectral types for certain nonstationary random models
A. Boutet de Monvel, P. Stollmann, G. Stolz
We consider continuum random Schrödinger operators of the type with a deterministic background potential . We establish criteria for the absence of c…
Wegner-type bounds for a two-particle continuous Anderson model with an alloy-type external potential
A. Boutet de Monvel, V. Chulaevsky, P. Stollmann +1
We consider a two-particle quantum systems in a d-dimensional Euclidean space with interaction and in presence of a random external potential (a continuous two-particle Anderson mo…
Elliptic operators on planar graphs: Unique continuation for eigenfunctions and nonpositive curvature
S. Klassert, D. Lenz, N. Peyerimhoff +1
This paper is concerned with elliptic operators on plane tessellations. We show that such an operator does not admit a compactly supported eigenfunction, if the combinatorial curva…