27 citations · 166 across the 39 of their papers we have counts for
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Scattering the geometry of weighted graphs
Batu Güneysu, Matthias Keller
Given two weighted graphs , with and , we prove a weighted -criterion for the existence and completeness of the wave operators…
A Feynman-Kac-Itô Formula for magnetic Schrödinger operators on graphs
Batu Güneysu, Matthias Keller, Marcel Schmidt
In this paper we prove a Feynman-Kac-Itô formula for magnetic Schrödinger operators on arbitrary weighted graphs. To do so, we have to provide a natural and general framework both…
Absolutely continuous spectrum for multi-type Galton Watson trees
Matthias Keller
We consider multi-type Galton Watson trees that are close to a tree of finite cone type in distribution. Moreover, we impose that each vertex has at least one forward neighbor. The…
Absolutely continuous spectrum for random operators on trees of finite cone type
Matthias Keller, Daniel Lenz, Simone Warzel
We study the spectrum of random operators on a large class of trees. These trees have finitely many cone types and they can be constructed by a substitution rule. The random operat…
The essential spectrum of the Laplacian on rapidly branching tessellations
Matthias Keller
In this paper we characterize emptiness of the essential spectrum of the Laplacian under a hyperbolicity assumption for general graphs. Moreover we present a characterization for e…