Yang Cao

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20212025

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math.DS2024

Topologically mildly mixing of higher orders along generalized polynomials

Yang Cao, Jianjie Zhao

This paper is devoted to studying the multiple recurrent property of topologically mildly mixing systems along generalized polynomials. We show that if a minimal system is topologi…

math.DS2021

Topological mild mixing of all orders along polynomials

Yang Cao, Song Shao

A minimal system $(X, T)$ is topologically mildly mixing if all non-empty open subsets $U, V$ , ${n \in Z : U \cap T^{- n} V \neq = \emptyset}$ is an IP $^{*}$ -set. In this paper we show that…