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Harmonic Extension on the Level-3 Sierpinski Gasket
| Content Provider | Semantic Scholar |
|---|---|
| Author | Feng, Zhigang Wang, Li |
| Copyright Year | 2010 |
| Abstract | Research on analysis on fractals first came from J. Kigami[2][7] and R.Strichartz[3][5][8], the harmonic matrices[2] and the graph energy[3] on the the Sierpinski Gasket(SG) were defined by them. In this paper, first, the level-3 Sierpinski Gasket (SG3) is introduced, it is obtained as an iterated function system which consists of six similar contraction maps. Then, the graph energy[6] and the harmonic matrices are obtained by the harmonic extension, the relationship between energy Em+1 and Em for m ≥ 0 can be got. The renormalization factor (r = 7 15 )of the level-3 Sierpinski Gasket is computed. Finally, a proposition of the renormalized energy is deduced. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://www.worldacademicunion.com/journal/1749-3889-3897IJNS/IJNSVol10No3Paper06.pdf |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
