Linear Representations and Isospectrality with Boundary Conditions
Spectral Theory
2010-01-15 v3 Mathematical Physics
math.MP
Abstract
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 treatment. However, the method presented can be applied to other systems such as manifolds and two-dimensional drums. This is demonstrated by reproducing some known isospectral drums, and new examples are obtained as well. In particular, Sunada's method is a special case of the one presented.
Cite
@article{arxiv.0806.1042,
title = {Linear Representations and Isospectrality with Boundary Conditions},
author = {Ori Parzanchevski and Ram Band},
journal= {arXiv preprint arXiv:0806.1042},
year = {2010}
}
Comments
Revised in response to referee's report