scholarly journals Asymptotic Behavior of Density in the Boundary-Driven Exclusion Process on the Sierpinski Gasket

2021 ◽  
Vol 24 (3) ◽  
Author(s):  
Joe P. Chen ◽  
Patrícia Gonçalves
Keyword(s):  
Asymptotic Behavior ◽  
Sierpinski Gasket ◽  
Exclusion Process ◽  
Sierpiński Gasket

scholarly journals Asymptotic analysis of an elastic material reinforced with thin fractal strips

2021 ◽  
Vol 0 (0) ◽  
pp. 0
Author(s):  
Mustapha El Jarroudi ◽  
Youness Filali ◽  
Aadil Lahrouz ◽  
Mustapha Er-Riani ◽  
Adel Settati
Keyword(s):  
Asymptotic Behavior ◽  
Elastic Material ◽  
Degrees Of Freedom ◽  
Hausdorff Metric ◽  
Sierpinski Gasket ◽  
Three Dimensional ◽  
Effective Energy ◽  
Energy Term ◽  
Sierpiński Gasket ◽  
Thin Boundary Layer

<p style='text-indent:20px;'>We study the asymptotic behavior of a three-dimensional elastic material reinforced with highly contrasted thin vertical strips constructed on horizontal iterated Sierpinski gasket curves. We use <inline-formula><tex-math id="M1">\begin{document}$ \Gamma $\end{document}</tex-math></inline-formula>-convergence methods in order to study the asymptotic behavior of the composite as the thickness of the strips vanishes, their Lamé constants tend to infinity, and the sequence of the iterated curves converges to the Sierpinski gasket in the Hausdorff metric. We derive the effective energy of the composite. This energy contains new degrees of freedom implying a nonlocal effect associated with thin boundary layer phenomena taking place near the fractal strips and a singular energy term supported on the Sierpinski gasket.</p>

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

scholarly journals Brownian motion on a random recursive Sierpinski gasket

1997 ◽  
Vol 25 (3) ◽  
pp. 1059-1102 ◽  
Author(s):  
B. M. Hambly
Keyword(s):  
Brownian Motion ◽  
Sierpinski Gasket ◽  
Sierpiński Gasket
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