The Non-Degeneracy of Harmonic Structures on Planar Sierpinski Gaskets  

作　　者：Shiping Cao Hua Qiu 

机构地区：[1]Department of Mathematics,Cornell University,Ithaca 14853,USA [2]Department of Mathematics,Nanjing University,Nanjing,Jiangsu 210093,China

出　　处：《Analysis in Theory and Applications》2020年第4期510-516,共7页分析理论与应用（英文刊）

基　　金：the Nature Science Foundation of China,Grant No.12071213.

摘　　要：We present a direct and short proof of the non-degeneracy of the harmonic structures on the level-n Sierpinski gaskets for any n≥2,which was conjectured by Hino in[1,2]and confirmed to be true by Tsougkas[8]very recently using Tutte’s spring theorem.

关 键 词：Fractal analysis harmonic functions fractal Laplacians harmonic structures Sierpinski gaskets. 

分 类 号：O177[理学—数学]