The Bowen's topological entropy of the Cartesian product sets

TL;DR

This paper proves a product theorem for Bowen's topological entropy, establishing how the entropy behaves under Cartesian products of sets, which advances understanding in dynamical systems.

Contribution

It introduces a new product theorem specifically for Bowen's topological entropy, expanding the theoretical framework of entropy in dynamical systems.

Findings

Established the product theorem for Bowen's topological entropy

Demonstrated how entropy behaves under Cartesian products

Provided new insights into the structure of entropy in dynamical systems

Abstract

This article is devoted to showing the product theorem for Bowen's topological entropy.