Work

A note on weighted measure-theoretic pressure

Year: 2025

Type: article

Abstract: In this article, we investigate the relations between various types of weighted measure-theoretic pressures and different versions of weighted topological pressures. We show that various types of weighted measure-theoretic pressures for an ergodic measure with respect to a potential function are equal to the sum of measure-theoretic entropy of this measure and the integral of the potential function.

Source: Open Mathematics

DOI: 10.1515/math-2024-0125

Authors: Bin Zhang, Yali Liang, Junjie Zhang

Institutions: Shangqiu Polytechnic, Shanghai Institute of Tourism, Suzhou University of Science and Technology

Language: English

Topic: Mathematical Dynamics and Fractals

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,187

OpenAlex ID: W4410360668

FWCI: 1.7

Cites: 12

Cited by: 1

Related to: 10