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arXiv · 1710.06346

Conductivity properties of the Sierpinski triangle

Clinton DeW. Van Siclen
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Abstract

The classic Sierpinski triangle comprised of conducting bonds is multifractal. Thus the critical exponents and dimensions related to the conductivity are obtained asymptotically--that is, in the limit that the correlation length ξ of the recursive triangle goes to infinity.

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Clinton DeW. Van Siclen. 2017-10-17. Conductivity properties of the Sierpinski triangle. https://arxiv.org/abs/1710.06346

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