Cited by 96Urban Design and Spatial AnalysisRegional Economics and Spatial AnalysisTheoretical and Computational Physics

Scaling and universality in the micro-structure of urban space

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Carvalho, Rui, Penn, Alan·2004·Physica A: Statistical Mechanics and its Applications

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Crossref · 10.1016/j.physa.2003.10.024

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  • Several studies found scale-free degree distributions in street networks using other graph representations.

    “Several studies also found scale-free degree distributions in street networks, using other graph representations (Cardillo et al. 2006;Carvalho and Penn 2004;Porta et al. 2006).”

    From A Network Approach to Link Visibility and Urban Activity Location (2018) · cites this paper as Carvalho and Penn 2004

    The paper describes axial maps as a representation of streets (p. 2), but its Abstract (p. 1) and section 2.2 (p. 4) report power-law distributions of axial-line lengths, not scale-free degree distributions. Thus it supports the use of another street representation, but not the finding attributed to it. (LLM, conf=0.79)

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Research works printed but not linked: 10

  1. [5][5] Frank Schweitzer and Jens Steinbrink. Estimation of megacity growth. Appl. Geogr. , 18(1):69-81, 1998. -
  2. [6][6] G. Malescio, N. V. Dokholyan, S. V. Buldyrev, and H. Eugene Stanley. Hierarchical organization of cities and nations. arXiv:cond-mat/005178. -
  3. [8][8] Susanna C. Manrubia and Dami´ an H. Zanette. Role of intermittency in urban development: a model of large scale city formation. Phys. Rev. Lett. , 79(3):523526, 1997. -
  4. [9][9] Matteo Marsili, Sergei Maslov, and Yi-Cheng Zhang. Comment on: 'role of intermittency in urban development: a model of large scale city formation'. Phys. Rev. Lett. , 80(21):4830, 1998. -
  5. [12][12] Michael Batty and Paul Longley. Fractal Cities . Academic Press, London, 1994. -
  6. [14][14] Gouqiang Shen. Fractal dimension and fractal growth of urbanized areas. Int. J. Geogr. Inf. Sci. , 16(5):419-437, 2002. -
  7. [17][17] Bill Hillier and Julienne Hanson. The Social Logic of Space . Cambridge University Press., Cambridge, 1984. -
  8. [19][19] Bin Jiang and H. Randy Gimblett. An agent based approach to environmental and urban systems within geographic information systems. In H. Randy Gimblett, editor, Integrating Geographic Information Systems and Agent-based Modeling Technniques for Simulating Social and Ecological Processes , Santa Fe Studies in the Sciences of Complexity, pages 171-190. Oxford University Press, New York, 2002. -
  9. [20][20] Bill Hillier. A theory of the city as object. In John Peponis, Jean Wineman, and Sonit Bafna, editors, Space Syntax 3rd International Symposium , pages 02.1-02.28, Georgia Institute of Technology, Atlanta, 2001. A. Alfred Taubman College of Architecture and Urban Planning, University of Michigan. -
  10. [21][21] D. Sornette. Critical Phenomena in Natural Sciences, Chaos, Fractals, Selforganization and Disorder: Concepts and Tools . Springer Verlag, Heidelberg, 2000. -

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Authors
Carvalho, R., & Penn, A.
Affiliations
University College London (GB)
Corresponding author
Carvalho, Rui
Venue
Physica A: Statistical Mechanics and its Applications
Publisher
Elsevier BV
Published
2004-02
Volume
332
Pages
539-547
ISSN
0378-4371 (ISSN-L)
OpenAlex
W2240260345
Cited by
96
References
0
Citations by year
2026: 3 · 2025: 4 · 2024: 1 · 2023: 1 · 2022: 1 · 2021: 4 · 2020: 1 · 2019: 4 · 2018: 4 · 2017: 1 · 2016: 5 · 2015: 5 · 2014: 6 · 2013: 8 · 2012: 8
FWCI
18.45
Type
journal article
Language
en
Open access
Locations
  • Physica A Statistical Mechanics and its Applications (publishedVersion)
  • arXiv (Cornell University) (submittedVersion)
  • RePEc: Research Papers in Economics (submittedVersion)
  • UCL Discovery (University College London) (submittedVersion)
  • arXiv (Cornell University)
Topics
  • Physical Sciences › Engineering › Building and Construction › Urban Design and Spatial Analysis
  • Social Sciences › Economics, Econometrics and Finance › Economics and Econometrics › Regional Economics and Spatial Analysis
  • Physical Sciences › Physics and Astronomy › Condensed Matter Physics › Theoretical and Computational Physics
Keywords
scaling, universality class, power-law tails, cumulative distribution, Lévy processes, urban geometry, city size

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