1 citations · 1 across the 1 of their papers we have counts for
3 papers
math.DG2018★ 1 cited
Robin and Steklov isospectral manifolds
Carolyn Gordon, Peter Herbrich, David Webb
We use two of the most fruitful methods for constructing isospectral manifolds, the Sunada method and the torus action method, to construct manifolds whose Dirichlet-to-Neumann ope…
math.SP2015
Changing gears: Isospectrality via eigenderivative transplantation
Peter Doyle, Peter Herbrich
We introduce a new method for constructing isospectral quantum graphs that is based on transplanting derivatives of eigenfunctions. We also present simple digraphs with the same re…
math.SP2015
Line graphs and the transplantation method
Peter Herbrich
We study isospectrality for mixed Dirichlet-Neumann boundary conditions, and extend the previously derived graph-theoretic formulation of the transplantation method. Led by the the…