67 citations · 102 across the 2 of their papers we have counts for
2 papers
math-ph2008★ 67 cited
The Isospectral Fruits of Representation Theory: Quantum Graphs and Drums
Ram Band, Ori Parzanchevski, Gilad Ben-Shach
We present a method which enables one to construct isospectral objects, such as quantum graphs and drums. One aspect of the method is based on representation theory arguments which…
math.SP2008★ 35 cited
Linear Representations and Isospectrality with Boundary Conditions
Ori Parzanchevski, Ram Band
We present a method for constructing families of isospectral systems, using linear representations of finite groups. We focus on quantum graphs, for which we give a complete treatm…