An approximative calculation of the fractal structure in self-similar tilings
Physics and Society
2015-05-20 v1 Disordered Systems and Neural Networks
Social and Information Networks
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.
Keywords
Cite
@article{arxiv.1009.5432,
title = {An approximative calculation of the fractal structure in self-similar tilings},
author = {Yukio Hayashi},
journal= {arXiv preprint arXiv:1009.5432},
year = {2015}
}
Comments
5 pages, 6 figures