Affiliation:
1. Institut für Physik, Technische Universität, D-09107 Chemnitz, Germany
Abstract
We present a new algorithm to calculate the random walk dimension
of finitely ramified Sierpinski carpets. The fractal structure is
interpreted as a resistor network for which the resistance scaling
exponent is calculated using Mathematica. A fractal form of the
Einstein relation, which connects diffusion with conductivity, is
used to give a numerical value for the random walk dimension.
Publisher
Association for Computing Machinery (ACM)
Cited by
15 articles.
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