Maximal nonsymmetric entropy leads naturally to Zipf's law

TL;DR

This paper introduces the concept of nonsymmetric entropy and demonstrates that maximizing it naturally results in Zipf's law, providing a new perspective on its fundamental nature.

Contribution

The paper proposes nonsymmetric entropy as a novel concept and shows that its maximization leads directly to Zipf's law, offering a new theoretical explanation.

Findings

Maximizing nonsymmetric entropy yields Zipf's law.

Provides a new theoretical framework for understanding Zipf's law.

Abstract

As the most fundamental empirical law, Zipf's law has been studied from many aspects. But its meaning is still an open problem. Some models have been constructed to explain Zipf's law. In the letter, a new concept named nonsymmetric entropy was introduced, maximizing nonsymmetric entropy leads naturally to Zipf's law.