# Weakly Mixing and Topological Conjugation of Discrete Dynamical System

### Jiaming Luo, Mengzhu Luo

#### 2023

#### Abstract

In this paper, by using Urysohn lemma to construct Metric space, introduce topological discrete dynamical system, and study its weakly mixing and simple ergodicity. Moreover, by using topological conjugation relation, the corresponding communicative condition that between measure preserving systems are given.

Download#### Paper Citation

#### in Harvard Style

Luo J. and Luo M. (2023). **Weakly Mixing and Topological Conjugation of Discrete Dynamical System**. In *Proceedings of the 2nd International Seminar on Artificial Intelligence, Networking and Information Technology - Volume 1: ANIT*; ISBN 978-989-758-677-4, SciTePress, pages 431-436. DOI: 10.5220/0012285400003807

#### in Bibtex Style

@conference{anit23,

author={Jiaming Luo and Mengzhu Luo},

title={Weakly Mixing and Topological Conjugation of Discrete Dynamical System},

booktitle={Proceedings of the 2nd International Seminar on Artificial Intelligence, Networking and Information Technology - Volume 1: ANIT},

year={2023},

pages={431-436},

publisher={SciTePress},

organization={INSTICC},

doi={10.5220/0012285400003807},

isbn={978-989-758-677-4},

}

#### in EndNote Style

TY - CONF

JO - Proceedings of the 2nd International Seminar on Artificial Intelligence, Networking and Information Technology - Volume 1: ANIT

TI - Weakly Mixing and Topological Conjugation of Discrete Dynamical System

SN - 978-989-758-677-4

AU - Luo J.

AU - Luo M.

PY - 2023

SP - 431

EP - 436

DO - 10.5220/0012285400003807

PB - SciTePress