227 citations · 812 across the 43 of their papers we have counts for
5 papers · 2 filters
Self-adjoint and Markovian extensions of infinite quantum graphs
Aleksey Kostenko, Delio Mugnolo, Noema Nicolussi
We investigate the relationship between one of the classical notions of boundaries for infinite graphs, \emph{graph ends}, and self-adjoint extensions of the minimal Kirchhoff Lapl…
Trace formulas and continuous dependence of spectra for the periodic conservative Camassa-Holm flow
Jonathan Eckhardt, Aleksey Kostenko, Noema Nicolussi
This article is concerned with the isospectral problem \[ -f'' + \frac{1}{4} f = zωf + z^2 \upsilon f \] for the periodic conservative Camassa-Holm flow, where is a periodic re…
On the absolutely continuous spectrum of generalized indefinite strings II
Jonathan Eckhardt, Aleksey Kostenko, Teo Kukuljan
We continue to investigate absolutely continuous spectrum of generalized indefinite strings. By following an approach of Deift and Killip, we establish stability of the absolutely…
On the absolutely continuous spectrum of generalized indefinite strings
Jonathan Eckhardt, Aleksey Kostenko
We investigate absolutely continuous spectrum of generalized indefinite strings. By following an approach of Deift and Killip, we establish stability of the absolutely continuous s…
Quantum graphs on radially symmetric antitrees
Aleksey Kostenko, Noema Nicolussi
We investigate spectral properties of Kirchhoff Laplacians on radially symmetric antitrees. This class of metric graphs enjoys a rich group of symmetries, which enables us to obtai…