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arXiv · 2010.14726

Mean Li-Yorke chaos along polynomials of several variables and prime numbers

Kairan Liu
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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.

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Kairan Liu. 2020-10-28. Mean Li-Yorke chaos along polynomials of several variables and prime numbers. https://arxiv.org/abs/2010.14726

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