An Approximative Calculation of the Fractal Structure in Self-Similar Tilings

• HAYASHI Yukio

  Japan Advanced Institute of Science and Technology

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.

Journal

• IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences

  IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences E94-A (2), 846-849, 2011

  The Institute of Electronics, Information and Communication Engineers

Keywords

• complex network science
• geographical network
• random fractal
• Markov chain
• urban planning

Details

• CRID: 1390282681287849344
• NII Article ID: 10028229709
• NII Book ID: AA10826239
• DOI: 10.1587/transfun.e94.a.846
• BIBCODE: 2011IEITF..94..846H
• ISSN: 17451337
• ISSN: 09168508
• Web Site: http://hdl.handle.net/10119/10316
• Web Site: http://www.jstage.jst.go.jp/article/transfun/E94.A/2/E94.A_2_846/_pdf
• Text Lang: en
• Data Source:
  • JaLC
  • IRDB
  • Crossref
  • CiNii Articles
  • KAKEN
• Abstract License Flag: Disallowed