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An approximative calculation of the fractal structure in self-similar tilings (1009.5432v1)
Published 28 Sep 2010 in physics.soc-ph, cond-mat.dis-nn, and cs.SI
Abstract: Fractal structures emerge from statistical and hierarchical processes in urban development or network evolution. In a class of efficient and robust geographical networks, we derive the size distribution of layered areas, and estimate the fractal dimension by using the distribution without huge computations. This method can be applied to self-similar tilings based on a stochastic process.
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