Asymptotic analysis of the model for distribution of high-tax payers

Details Asymptotic analysis of the model for distribution of high-tax payers Asymptotic analysis of the model for distribution of high-tax payers

2005-10-26

arxiv.org/abs/cond-mat/0510693v2

Japan J. Indust. Appl. Math. 24, 211-218 (2007).

Physics

Condensed Matter

Statistical Mechanics

5pages, 3figures

Scientific paper

10.1088/1742-6596/31/1/009

The z-transform technique is used to investigate the model for distribution of high-tax payers, which is proposed by two of the authors (K. Y and S. M) and others. Our analysis shows an asymptotic power-law of this model with the exponent -5/2 when a total ``mass'' has a certain critical value. Below the critical value, the system exhibits an ordinary critical behavior, and scaling relations hold. Above the threshold, numerical simulations show that a power-law distribution coexists with a huge ``monopolized'' member. It is argued that these behaviors are observed universally in conserved aggregation processes, by analizing an extended model.

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