Year: 2020
Author: Shiping Cao, Hua Qiu
Analysis in Theory and Applications, Vol. 36 (2020), Iss. 4 : pp. 510–516
Abstract
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.
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/ata.OA-SU6
Analysis in Theory and Applications, Vol. 36 (2020), Iss. 4 : pp. 510–516
Published online: 2020-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 7
Keywords: Fractal analysis harmonic functions fractal Laplacians harmonic structures Sierpinski gaskets.