Random walks on the Sierpinski Gasket

1986 ◽  
Vol 47 (10) ◽  
pp. 1663-1669 ◽  
Author(s):  
R. Friedberg ◽  
O. Martin
Keyword(s):  
Random Walks ◽  
Sierpinski Gasket ◽  
Sierpiński Gasket

On the recurrence of simple random walks on some fractals

1992 ◽  
Vol 29 (2) ◽  
pp. 454-459
Author(s):  
Zhou Xian-Yin
Keyword(s):  
Random Walk ◽  
Random Walks ◽  
Sierpinski Gasket ◽  
Simple Random Walk ◽  
Sierpinski Carpet ◽  
Sierpiński Gasket ◽  
Sierpiński Carpet

In this paper, the recurrence or transience of simple random walks on some lattice fractals is investigated. As results, we obtain that the simple random walk on the pre-Sierpinski gasket inddimensions is recurrent for alld≧ 2, and on the pre-Sierpinski carpet inddimensions it is recurrent ford= 2 and transient for alld≧ 3.

On the recurrence of simple random walks on some fractals

1992 ◽  
Vol 29 (02) ◽  
pp. 454-459
Author(s):  
Zhou Xian-Yin
Keyword(s):  
Random Walk ◽  
Random Walks ◽  
Sierpinski Gasket ◽  
Simple Random Walk ◽  
Sierpinski Carpet ◽  
Sierpiński Gasket ◽  
Sierpiński Carpet

In this paper, the recurrence or transience of simple random walks on some lattice fractals is investigated. As results, we obtain that the simple random walk on the pre-Sierpinski gasket in d dimensions is recurrent for all d ≧ 2, and on the pre-Sierpinski carpet in d dimensions it is recurrent for d = 2 and transient for all d ≧ 3.

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

scholarly journals Level sets of harmonic functions on the Sierpiński gasket

2002 ◽  
Vol 40 (2) ◽  
pp. 335-362 ◽  
Author(s):  
Anders Öberg ◽  
Robert S. Strichartz ◽  
Andrew Q. Yingst
Keyword(s):  
Level Sets ◽  
Harmonic Functions ◽  
Sierpinski Gasket ◽  
Sierpiński Gasket

Design Sierpinski Gasket Antenna for WLAN Application

2007 ◽  
Author(s):  
C.Z.C. Ghani ◽  
M.H.A. Wahab ◽  
N. Abdullah ◽  
S.A Hamzah ◽  
A. Ubin ◽  
...  
Keyword(s):  
Sierpinski Gasket ◽  
Sierpiński Gasket

scholarly journals Gradients of Laplacian eigenfunctions on the Sierpinski gasket

2008 ◽  
Vol 137 (02) ◽  
pp. 531-540 ◽  
Author(s):  
Jessica L. DeGrado ◽  
Luke G. Rogers ◽  
Robert S. Strichartz
Keyword(s):  
Sierpinski Gasket ◽  
Sierpiński Gasket
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