5 citations · 9 across the 7 of their papers we have counts for
4 papers · 1 filter
Spectral properties of aperiodic metric and discrete graphs
Gilad Sofer
In this thesis, we study the spectral properties of dynamically defined aperiodic metric and discrete graphs. Our goal is to determine to what extent spectral properties of discret…
Spectral curves of quantum graphs with type vertex conditions
Gilad Sofer
In this Thesis, we study the behavior of spectral curves of quantum graphs under certain families of vertex conditions, called the family, which we define in this work. We fo…
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…
Time evolution and the Schrödinger equation on time dependent quantum graphs
Uzy Smilansky, Gilad Sofer
The purpose of the present paper is to discuss the time dependent Schrödinger equation on a metric graph with time-dependent edge lengths, and the proper way to pose the problem so…