A topological proof of the non-degeneracy of harmonic structures on Sierpinski Gaskets
classification
🧮 math.CA
math.DS
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gasketsharmonicnon-degeneracyproofsierpinskistructuresconfirmedconjectured
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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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