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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-ph2016★ 3 cited
Simplicity of eigenvalues and non-vanishing of eigenfunctions of a quantum graph
Gregory Berkolaiko, Wen Liu
We prove that after an arbitrarily small adjustment of edge lengths, the spectrum of a compact quantum graph with -type vertex conditions can be simple. We also show that the ei…