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Discrete Dynamics in Nature and Society
Volume 2012 (2012), Article ID 480196, 21 pages
http://dx.doi.org/10.1155/2012/480196
Research Article

Zipf's Law, Hierarchical Structure, and Cards-Shuffling Model for Urban Development

Department of Geography, College of Urban and Environmental Science, Peking University, Beijing 100871, China

Received 21 March 2011; Revised 18 January 2012; Accepted 11 February 2012

Academic Editor: B. Sagar

Copyright © 2012 Yanguang Chen. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Citations to this Article [5 citations]

The following is the list of published articles that have cited the current article.

  • Yanguang Chen, and Jiejing Wang, “Recursive subdivision of urban space and Zipf’s law,” Physica A: Statistical Mechanics and its Applications, 2013. View at Publisher · View at Google Scholar
  • Yanguang Chen, “Power-Law Distributions Based On Exponential Distributions: Latent Scaling, Spurious Zipf's Law, And Fractal Rabbits,” Fractals-Complex Geometry Patterns And Scaling In Nature And Society, vol. 23, no. 2, 2015. View at Publisher · View at Google Scholar
  • Peichao Gao, Zhao Liu, Gang Liu, Hongrui Zhao, and Xiaoxiao Xie, “Unified Metrics for Characterizing the Fractal Nature of Geographic Features,” Annals of the American Association of Geographers, pp. 1–17, 2017. View at Publisher · View at Google Scholar
  • Yanguang Chen, and Jian Feng, “A Hierarchical Allometric Scaling Analysis of Chinese Cities: 1991–2014,” Discrete Dynamics in Nature and Society, vol. 2017, pp. 1–15, 2017. View at Publisher · View at Google Scholar
  • Yanguang Chen, and Linshan Huang, “A scaling approach to evaluating the distance exponent of the urban gravity model,” Chaos, Solitons & Fractals, vol. 109, pp. 303–313, 2018. View at Publisher · View at Google Scholar