A topological proof of the non-degeneracy of harmonic structures on Sierpinski Gaskets
Abstract
We present a direct proof of the non-degeneracy of the harmonic structures on the level-n Sierpinski gaskets for any n≥ 2, which was conjectured by Hino in [H1,H2] and confirmed to be true by Tsougkas [T] very recently using Tutte's spring theorem.
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