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.

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