Replica analysis of a preferential urn model

Details Replica analysis of a preferential urn model Replica analysis of a preferential urn model

2006-01-10

arxiv.org/abs/cond-mat/0601193v4

J. Phys. Soc. Jpn. 75, 074802 (2006); Erratum: J. Phys. Soc. Jpn. 76, 048001(2007)

Physics

Condensed Matter

Disordered Systems and Neural Networks

6 pages, 2 figures

Scientific paper

10.1143/JPSJ.75.074802

We analyse 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." The replica analysis clarifies that the preferential urn model with randomness shows a fat-tailed occupation distribution. The analytical treatments and results would be useful for various research fields such as complex networks, stochastic models, and econophysics.

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