TY - JOUR
T1 - The Non-Degeneracy of Harmonic Structures on Planar Sierpinski Gaskets
AU - Cao , Shiping
AU - Qiu , Hua
JO - Analysis in Theory and Applications
VL - 4
SP - 510
EP - 516
PY - 2020
DA - 2020/12
SN - 36
DO - http://doi.org/10.4208/ata.OA-SU6
UR - https://global-sci.org/intro/article_detail/ata/18467.html
KW - Fractal analysis, harmonic functions, fractal Laplacians, harmonic structures, Sierpinski gaskets.
AB - <p style="text-align: justify;">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&#39;s spring theorem.</p>