在几何增长系统中的分布及其演变
1Faculty of Physics, Kim Il Sung University, Pyongyang +850, Democratic People's Republic of Korea.
Chaos (Woodbury, N.Y.)
|October 29, 2024
概括
一个新的理论用统计几何学来解释人口统计,经济学和COVID-19中的权力法分布. 这种模型显示出独特的凸度和尺寸度,与传统的力量定律模型不同.
科学领域:
- 统计物理学的统计物理.
- 复杂系统理论 复杂系统理论
- 数学建模的数学建模
背景情况:
- 权力-法律分布在自然和社会现象中普遍存在.
- 现有的模型往往需要复杂的,系统特定的假设.
- 需要统一的统计方法来解释这些分布.
研究的目的:
- 介绍和验证一个新的几何增长系统理论.
- 证明理论能够解释各种力量法现象的能力.
- 确定这个新的理论框架的独特特征.
主要方法:
- 基于几何增长的统计理论的发展.
- 该理论应用于人口,经济和COVID-19数据.
- 分析分布图和尺寸度的分析.
主要成果:
- 该理论成功地解释了没有复杂模型的权力定律分布.
- 在分布的小区域中发现了明显的凸度.
- 该模型显示,随着时间的推移,系统内的尺寸集中趋势.
结论:
- 几何式增长的系统理论为权力定律分布提供了一个节的解释.
- 该理论提供了一个独特的统计视角,突出了尺寸的集中.
- 这一框架在各种科学领域具有广泛的适用性.
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