An approximative calculation of the fractal structure in self-similar tilings

An approximative calculation of the fractal structure in self-similar tilings
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DOI:
10.1587/transfun.e94.a.846
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发表时间:
2010-09
期刊:
ArXiv
影响因子:
--
通讯作者:
Y. Hayashi
Y. Hayashi
中科院分区:
其他
文献类型:
--
作者:
Y. Hayashi

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分形结构出现在城市发展或网络演化的统计和层次过程中。在一类高效、鲁棒的地理网络中,我们推导出了分层区域的大小分布,并利用该分布估计了分形维数。该方法可以应用于基于随机过程的自相似镶嵌。
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.