5 citations · 5 across the 3 of their papers we have counts for
5 papers
A note on Spectral Analysis of Quantum graphs
Noema Nicolussi
We provide an introductory review of some topics in spectral theory of Laplacians on metric graphs. We focus on three different aspects: the trace formula, the self-adjointness pro…
Moduli of hybrid curves II: Tropical and hybrid Laplacians
Omid Amini, Noema Nicolussi
The present paper is a sequel to our work on hybrid geometry of curves and their moduli spaces. We introduce a notion of hybrid Laplacian, formulate a hybrid Poisson equation, and…
A note on the Gaffney Laplacian on infinite metric graphs
Aleksey Kostenko, Noema Nicolussi
We show that the deficiency indices of the minimal Gaffney Laplacian on an infinite locally finite metric graph are equal to the number of finite volume graph ends. Moreover, we pr…
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…
Strong Isoperimetric Inequality for Tessellating Quantum Graphs
Noema Nicolussi
We investigate isoperimetric constants of infinite tessellating metric graphs. We introduce a curvature-like quantity, which plays the role of a metric graph analogue of discrete c…