Energy and Laplacian on Hanoi-type fractal quantum graphs
Energy and Laplacian on Hanoi-type fractal quantum graphs
This article studies potential theory and spectral analysis on compact metric spaces, which we refer to as fractal quantum graphs. These spaces can be represented as a (possibly infinite) union of 1-dimensional intervals and a totally disconnected (possibly uncountable) compact set, which roughly speaking represents the set of junction points. …