7 citations · 7 across the 1 of their papers we have counts for
3 papers
math-ph2021★ 7 cited
Universality of nodal count distribution in large metric graphs
Lior Alon, Ram Band, Gregory Berkolaiko
An eigenfunction of the Laplacian on a metric (quantum) graph has an excess number of zeros due to the graph's non-trivial topology. This number, called the nodal surplus, is an in…
math-ph2017
Quotients of graph operators by symmetry representations
Ram Band, Gregory Berkolaiko, Christopher H. Joyner +1
A finite dimensional operator that commutes with some symmetry group admits quotient operators, which are determined by the choice of associated representation. Taking the quotient…
math-ph2017
Nodal Statistics On Quantum Graphs
Lior Alon, Ram Band, Gregory Berkolaiko
It has been suggested that the distribution of the suitably normalized number of zeros of Laplacian eigenfunctions contains information about the geometry of the underlying domain.…