188 citations · 935 across the 31 of their papers we have counts for
31 papers
Differences between Robin and Neumann eigenvalues on metric graphs
Ram Band, Holger Schanz, Gilad Sofer
We consider the Laplacian on a metric graph, equipped with Robin (-type) vertex condition at some of the graph vertices and Neumann-Kirchhoff condition at all others. The corres…
The Statistics of Spectral Shifts due to Finite Rank Perturbations
Barbara Dietz, Holger Schanz, Uzy Smilansky +1
This article is dedicated to the following class of problems. Start with an Hermitian matrix randomly picked from a matrix ensemble - the reference matrix. Applying a r…
Edge switching transformations of quantum graphs
Michael Aizenman, Holger Schanz, Uzy Smilansky +1
Discussed here are the effects of basics graph transformations on the spectra of associated quantum graphs. In particular it is shown that under an edge switch the spectrum of the…
Random Matrix Theory Approach to Chaotic Coherent Perfect Absorbers
Huanan Li, Suwun Suwunnarat, Ragnar Fleischmann +2
We employ Random Matrix Theory in order to investigate coherent perfect absorption (CPA) in lossy systems with complex internal dynamics. The loss strength and energy…
Topological Resonances in Scattering on Networks (Graphs)
Sven Gnutzmann, Holger Schanz, Uzy Smilansky
We report on a hitherto unnoticed type of resonances occurring in scattering from networks (quantum graphs) which are due to the complex connectivity of the graph - its topology. W…
Partial Weyl Law for Billiards
Arnd Bäcker, Roland Ketzmerick, Steffen Löck +1
For two-dimensional quantum billiards we derive the partial Weyl law, i.e. the average density of states, for a subset of eigenstates concentrating on an invariant region of ph…