Induced Topological Pressure for Dynamical Systems

TL;DR

This paper explores the concept of induced topological pressure in dynamical systems, analyzing classical and nonlinear cases, and establishing a variational principle for high-dimensional nonlinear pressures.

Contribution

It introduces the high-dimensional nonlinear induced topological pressure and proves a variational principle for it, extending classical theory.

Findings

Analysis of equilibrium states and subdifferential properties

Introduction of high-dimensional nonlinear induced topological pressure

Establishment of a variational principle for nonlinear pressure

Abstract

This paper is devoted to the study of induced topological pressure, including both classical and nonlinear cases. For the classical induced topological pressure, we investigate equilibrium states, subdifferential and freezing states, while also discussing some basic properties of it. Additionally, the high dimensional nonlinear induced topological pressure is introduced, and the corresponding variational principle is established.