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

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  • Hiroshi Yamamoto
  • Toshiya Ohtsuki
  • Akihiro Fujihara
  • Satoshi Tanimoto
  • Keizo Yamamoto
  • Sasuke Miyazima

Abstract

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.

Suggested Citation

  • Hiroshi Yamamoto & Toshiya Ohtsuki & Akihiro Fujihara & Satoshi Tanimoto & Keizo Yamamoto & Sasuke Miyazima, 2005. "Asymptotic analysis of the model for distribution of high-tax payers," Papers cond-mat/0510693, arXiv.org, revised Oct 2007.
    • Handle: RePEc:arx:papers:cond-mat/0510693
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    Cited by:

    1. Sekiyama, Makoto & Ohtsuki, Toshiya & Yamamoto, Hiroshi, 2022. "Non-equilibrium phase transition and cluster size distribution in aggregation and weighted-fragmentation processes," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 599(C).

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