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International Conference on Complex Systems (ICCS2006)

Fat-tailed degree distributions generated by quenched disorder

Jun Ohkubo
Tohoku University

Kazuyuki Tanaka
Graduate School of Information Sciences, Tohoku University

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     Last modified: August 1, 2006

Abstract
Some nongrowing networks can be investigated by using an urn model. We consider an urn model with a preference concept, i.e., ``the rich get richer." After explaining the relationship between the urn model and a corresponding network model, we show numerically and analytically that quenched disorder states in the model play an important role to generate fat-tailed distributions; when each urn (node) has the same ability for obtaining balls (edges), the fat-tailed occupation (degree) distribution does not occur in the urn (network) model; when the ability of urns (nodes) are different from each other, the occupation (degree) distribution shows fat-tailed behavior.




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