25 citations · 158 across the 37 of their papers we have counts for
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math.SP2023★ 1 cited
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.…
math.SP2023★ 2 cited
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…
math.SP2023★ 3 cited
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…