A statistical theory of complex systems
Jincan Chen, Tie Liu, Zhifu Huang, Guozhen Su
TL;DR
This paper develops a statistical framework for complex systems using a new generalized multiplication of probability distributions, enabling an analogous extensive theory.
Contribution
It introduces a novel generalized multiplication for probability distributions, extending statistical theory to complex systems within an extensive framework.
Findings
Established a statistical theory for complex systems based on observed probability distributions.
Proved the applicability of the generalized multiplication in the theoretical framework.
Provided a foundation for analyzing complex systems using this new statistical approach.
Abstract
Based on the probability distribution observed in complex systems and an assumption that the probability distributions of complex systems satisfy a new generalized multiplication, it is proved that the statistical theory of complex systems can be established in the analogous extensive framework.
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Taxonomy
TopicsStatistical Mechanics and Entropy