Anal. Theory Appl., 36 (2020), pp. 510-516.
Published online: 2020-12
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We present a direct and short 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 [1,2] and confirmed to be true by Tsougkas [8] very recently using Tutte's spring theorem.
}, issn = {1573-8175}, doi = {https://doi.org/10.4208/ata.OA-SU6}, url = {http://global-sci.org/intro/article_detail/ata/18467.html} }We present a direct and short 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 [1,2] and confirmed to be true by Tsougkas [8] very recently using Tutte's spring theorem.