Scaling and universality in the micro-structure ofurban space

Scaling and universality in the micro-structure ofurban space
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DOI:
10.1016/j.physa.2003.10.024
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发表时间:
2003-05
期刊:
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影响因子:
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通讯作者:
Rui Carvalho;A. Penn
Rui Carvalho;A. Penn
中科院分区:
其他
文献类型:
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作者:
Rui Carvalho;A. Penn

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我们从14个不同国家的36个城市的地图中得出了开放空间线性段长度分布的广义现象学图像。通过缩放l的Zipf图,我们得到了城市样本的两条主曲线,它们不是城市规模的函数。我们证明,第三类城市不容易被划分为这两个普遍性类别。l的累积分布呈现幂律尾巴,αB=2, αR=3。我们建议在我们的数据和使用lsamvy过程观察和模拟城市几何结构的可能性之间建立联系。
We present a broad, phenomenological picture of the distribution of the length of open space linear segments, l, derived from maps of 36 cities in 14 different countries. By scaling the Zipf plot of l, we obtain two master curves for a sample of cities, which are not a function of city size. We show that a third class of cities is not easily classifiable into these two universality classes. The cumulative distribution of l displays power-law tails with two distinct exponents, αB=2 and αR=3. We suggest a link between our data and the possibility of observing and modelling urban geometric structures using Lévy processes.