Replica analysis of preferential urn model

Jun Ohkubo, Muneki Yasuda, Kazuyuki Tanaka

Research output: Contribution to journalArticlepeer-review

7 Citations (Scopus)

Abstract

We analyze a preferential urn model with randomness using the replica method. The preferential urn model is a stochastic model based on the concept "the rich get richer." In the replica analysis, we clarify that the preferential urn model with randomness shows a fat-tailed occupation distribution. We discuss the intuitive picture of the preferential urn model, a relationship between quenched and annealed systems, and a trial for the application of the preferential urn model to econophysics. The analytical treatments and results would be useful for various research fields such as complex networks, stochastic models, and econophysics.

Original languageEnglish
Article number074802
Journaljournal of the physical society of japan
Volume75
Issue number7
DOIs
Publication statusPublished - 2006 Jul

Keywords

  • Econophysics
  • Ehrenfest class
  • Pareto's distribution
  • Replica analysis
  • Statistical mechanics
  • Stochastic process
  • Urn model

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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