The Laplacian on the level 3 Sierpinski gasket via the method of averages☆

2005 ◽  
Vol 23 (4) ◽  
pp. 1201-1209
Author(s):  
T DONGLEI ◽  
S WEIYI
Keyword(s):  
Sierpinski Gasket ◽  
Sierpiński Gasket ◽  
Level 3

DIRICHLET PROBLEM OF POISSON EQUATIONS AND VARIATIONAL PRINCIPLE ON A TYPE OF FRACTAL SETS

Fractals ◽  
2020 ◽  
Vol 28 (05) ◽  
pp. 2050090
Author(s):  
YIPENG WU ◽  
KUI YAO ◽  
LEI MU ◽  
ZHILONG CHEN
Keyword(s):  
Dirichlet Problem ◽  
Variational Principle ◽  
Green’S Function ◽  
Green's Function ◽  
Sierpinski Gasket ◽  
Sierpiński Gasket ◽  
Fractal Sets ◽  
Poisson Equations ◽  
Level 3

This paper studied the level-3 Sierpinski gasket. We solved Dirichlet problem of Poisson equations and proved variational principle on the level-3 Sierpinski gasket by expressing Green’s function explicitly.

scholarly journals Dimer Coverings on the Sierpinski Gasket

2008 ◽  
Vol 131 (4) ◽  
pp. 631-650 ◽  
Author(s):  
Shu-Chiuan Chang ◽  
Lung-Chi Chen
Keyword(s):  
Sierpinski Gasket ◽  
Sierpiński Gasket

scholarly journals Metric approximations of spectral triples on the Sierpiński gasket and other fractal curves

2021 ◽  
Vol 385 ◽  
pp. 107771
Author(s):  
Therese-Marie Landry ◽  
Michel L. Lapidus ◽  
Frédéric Latrémolière
Keyword(s):  
Sierpinski Gasket ◽  
Sierpiński Gasket ◽  
Spectral Triples
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