Showing math.SPShow all
3 papers · 1 filter
math.SP2025
Spectral comparison results for Laplacians on discrete graphs
Patrizio Bifulco, Joachim Kerner, Christian Rose
In the recent literature, various authors have studied spectral comparison results for Schrödinger operators with discrete spectrum in different settings including Euclidean domai…
math.SP2024
The curious spectra and dynamics of non-locally finite crystals
Joachim Kerner, Olaf Post, Mostafa Sabri +1
This paper is devoted to the investigation of the spectral theory and dynamical properties of periodic graphs which are not locally finite but carry non-negative, symmetric and sum…
math.SP2024
A modified local Weyl law and spectral comparison results for -coupling conditions
Patrizio Bifulco, Joachim Kerner
We study Schrödinger operators on compact finite metric graphs subject to -coupling conditions. Based on a novel modified local Weyl law, we derive an explicit expression for…