A topological proof of the non-degeneracy of harmonic structures on Sierpinski Gaskets

Published 3 Mar 2017 in math.CA and math.DS | (1703.01071v2)

Abstract: We present a direct proof of the non-degeneracy of the harmonic structures on the level-$n$ Sierpinski gaskets for any $n\geq 2$, 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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