Distribution in the Geometrically Growing System and Its Evolution
Abstract
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.
Cite
@article{arxiv.2302.13781,
title = {Distribution in the Geometrically Growing System and Its Evolution},
author = {Kim Chol-jun},
journal= {arXiv preprint arXiv:2302.13781},
year = {2023}
}