Scaling and universality in the micro-structure of urban space
| dc.creator | Carvalho, Rui | |
| dc.creator | Penn, Alan | |
| dc.date | 2003-05-08 | |
| dc.date | 2003-09-25 | |
| dc.date.accessioned | 2026-07-07T02:51:14Z | |
| dc.date.available | 2026-07-07T02:51:14Z | |
| dc.description | 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, $α_B=2$ and $α_R=3$. We suggest a link between our data and the possibility of observing and modelling urban geometric structures using Levy processes. | |
| dc.description | 11 pages, 3 figures; minor changes | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0305164 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0305164 | |
| dc.identifier | Physica A, Volume 332, Pages 539-547 (1 February 2004) | |
| dc.identifier | doi:10.1016/j.physa.2003.10.024 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/21380 | |
| dc.subject | Statistical Mechanics | |
| dc.title | Scaling and universality in the micro-structure of urban space | |
| dc.type | text |