Preferential urn model and nongrowing complex networks

Jun Ohkubo, Muneki Yasuda, Kazuyuki Tanaka

研究成果: Article査読

26 被引用数 (Scopus)

抄録

A preferential urn model, which is based on the concept "the rich get richer," is proposed. From a relationship between a nongrowing model for complex networks and the preferential urn model in regard to degree distributions, it is revealed that a fitness parameter in the nongrowing model is interpreted as an inverse local temperature in the preferential urn model. Furthermore, it is clarified that the preferential urn model with randomness generates a fat-tailed occupation distribution; the concept of the local temperature enables us to understand the fat-tailed occupation distribution intuitively. Since the preferential urn model is a simple stochastic model, it can be applied to research on not only the nongrowing complex networks, but also many other fields such as econophysics and social sciences.

本文言語English
論文番号065104
ジャーナルPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
72
6
DOI
出版ステータスPublished - 2005 12 1

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Condensed Matter Physics
  • Statistical and Nonlinear Physics
  • Mathematical Physics

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