Induced topological pressure for topological dynamical(to appear in JPM)

TL;DR

This paper introduces the concept of induced topological pressure for dynamical systems and establishes a variational principle, advancing the theoretical understanding of topological dynamics.

Contribution

It defines induced topological pressure and proves a variational principle, providing new theoretical insights into topological dynamical systems.

Findings

Established a variational principle for induced topological pressure

Extended the theoretical framework of topological pressure

Inspired by previous work in topological dynamics

Abstract

In this paper, inspired by the article [5], we introduce the induced topological pressure for a topological dynamical system. In particular, we prove a variational principle for the induced topological pressure.