Replica analysis of a preferential urn model
Disordered Systems and Neural Networks
2009-11-11 v4
Abstract
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.
Keywords
Cite
@article{arxiv.cond-mat/0601193,
title = {Replica analysis of a preferential urn model},
author = {Jun Ohkubo and Muneki Yasuda and Kazuyuki Tanaka},
journal= {arXiv preprint arXiv:cond-mat/0601193},
year = {2009}
}
Comments
6 pages, 2 figures