Eigenmodes of a Laplacian on Some Laakso Spaces
Functional Analysis
2009-03-27 v1 Mathematical Physics
math.MP
Abstract
We analyze the spectrum of a self-adjoint operator on a Laakso space using the projective limit construction originally given by Barlow and Evans. We will use the hierarchical cell structure induced by the choice of approximating quantum graphs to calculate the spectrum with multiplicities. We also extend the method for using the hierarchical cell structure to more general projective limits beyond Laakso spaces.
Keywords
Cite
@article{arxiv.0903.4661,
title = {Eigenmodes of a Laplacian on Some Laakso Spaces},
author = {Kevin Romeo and Benjamin Steinhurst},
journal= {arXiv preprint arXiv:0903.4661},
year = {2009}
}
Comments
16 pages, 8 figures, 1 table