Distribution in the Geometrically Growing System and Its Evolution

Recently, we developed a theory of a geometrically growing system. Here we show that the theory can explain some phenomena of power-law distribution including classical demographic and economic and novel pandemic instances, without introduction of delicate economic models but only on the statistical...

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Bibliographic Details
Published in:arXiv.org 2023-02
Main Author: Chol-jun, Kim
Format: Article
Language:English
Subjects:
Convexity
Economic analysis
Economic models
Evolution
Power law
Size distribution
Online Access:Get full text
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Summary:Recently, we developed a theory of a geometrically growing system. Here we show that the theory can explain some phenomena of power-law distribution including classical demographic and economic and novel pandemic instances, without introduction of delicate economic models but only on the statistical way. A convexity in the low-size part of the distribution is one peculiarity of the theory, which is absent in the power-law distribution. We found that the distribution of the geometrically growing system could have a trend to flatten in the evolution of the system so that the relative ratio of size within the system increases. The system can act as a reverse machine to covert a diffusion in parametric space to a concentration in the size distribution.
ISSN:2331-8422