Eigenmodes of a Laplacian on Laakso Space


Kevin Romeo and Benjamin Steinhurst


This group analyzed the spectrum of a self-adjoint operator on a Laakso space using the projective limit construction originally given by Barlow and Evans. They used the hierarchical cell structure induced by the choice of approximating quantum graphs to calculate the spectrum with multiplicities. They then extended the method for using the hierarchical cell structure to more general projective limits beyond Laakso spaces.


Complex Variables and Elliptic Equations: An International Journal