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math-ph2014★ 20 cited
Energy and Laplacian on Hanoi-type fractal quantum graphs
Patricia Alonso Ruiz, Daniel J. Kelleher, Alexander Teplyaev
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 in…
math-ph2014★ 1 cited
Gaps in the spectrum of the Laplacian on -Gaskets
Daniel Kelleher, Nikhar Gupta, Maxwell Margenot +3
This article develops analysis on fractal -gaskets, a class of post-critically finite fractals which include the Sierpinski triangle for , specifically properties of the L…