Translator Disclaimer
June 2007 Asymptotic Analysis of the Model for Distribution of High-Tax Payers
Hiroshi Yamamoto, Toshiya Ohtsuki, Akihiro Fujihara, Satoshi Tanimoto, Keizo Yamamoto, Sasuke Miyazima
Japan J. Indust. Appl. Math. 24(2): 211-218 (June 2007).

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 [12]--[14]. 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.

Citation

Download Citation

Hiroshi Yamamoto. Toshiya Ohtsuki. Akihiro Fujihara. Satoshi Tanimoto. Keizo Yamamoto. Sasuke Miyazima. "Asymptotic Analysis of the Model for Distribution of High-Tax Payers." Japan J. Indust. Appl. Math. 24 (2) 211 - 218, June 2007.

Information

Published: June 2007
First available in Project Euclid: 17 December 2007

zbMATH: 1151.91660
MathSciNet: MR2338155

Rights: Copyright © 2007 The Japan Society for Industrial and Applied Mathematics

JOURNAL ARTICLE
8 PAGES


SHARE
Vol.24 • No. 2 • June 2007
Back to Top