Mean Li-Yorke chaos along polynomials of several variables and prime numbers
Dynamical Systems
2020-11-06 v2
Abstract
In this paper, for any given polynomial, by analyzing the limiting behavior of ergodic averages along polynomials of several variables and prime numbers, we prove that for a topology dynamical system, positive entropy implies mean Li-Yoke chaos along non-constant polynomials of several variables and prime numbers.
Keywords
Cite
@article{arxiv.2010.14726,
title = {Mean Li-Yorke chaos along polynomials of several variables and prime numbers},
author = {Kairan Liu},
journal= {arXiv preprint arXiv:2010.14726},
year = {2020}
}