25 citations · 158 across the 37 of their papers we have counts for
5 papers · 1 filter
On Bose-Einstein condensation in interacting Bose gases in the Kac-Luttinger model
Chiara Boccato, Joachim Kerner, Maximilian Pechmann
We study interacting Bose gases of dimensions at zero temperature in a random model known as the Kac-Luttinger model. Choosing the pair-interaction between t…
Some spectral comparison results on infinite quantum graphs
Patrizio Bifulco, Joachim Kerner
In this paper we establish spectral comparison results for Schrödinger operators on a certain class of infinite quantum graphs, using recent results obtained in the finite setting.…
A note on Ambarzumian's theorem for quantum graphs
Patrizio Bifulco, Joachim Kerner
Based on the main result presented in a recent paper, we derive Ambarzumian-type theorems for Schrödinger operators defined on quantum graphs. We recover existing results such as t…
On the surface area of graphs, related connectivity measures and spectral estimates
Patrizio Bifulco, Joachim Kerner
In this note we elaborate on some notions of surface area for discrete graphs which are closely related to the inverse degree. These notions then naturally lead to associated conne…
Robustness of flat bands on the perturbed Kagome and the perturbed Super-Kagome lattice
Joachim Kerner, Matthias Täufer, Jens Wintermayr
We study spectral properties of perturbed discrete Laplacians on two-dimensional Archimedean tilings. The perturbation manifests itself in the introduction of non-trivial edge weig…