A characterization of weak-mixing for minimal systems

Autor:	Fangzhou Cai
Rok vydání:	2019
Předmět:	010101 applied mathematics Combinatorics Polynomial 010102 general mathematics Geometry and Topology Extension (predicate logic) 0101 mathematics Characterization (mathematics) Dynamical system (definition) 01 natural sciences Mixing (physics) Mathematics
Zdroj:	Topology and its Applications. 267:106844
ISSN:	0166-8641
DOI:	10.1016/j.topol.2019.106844
Popis:	Let ( X , T ) be a non-trivial minimal topological dynamical system. We proved that ( X , T ) is weak-mixing if and only if there exists a dense σ-Cantor subset K of X such that for each d ∈ N , K d is contained in the set of transitive points of the map T × T 2 × ⋯ × T d . We also give the polynomial extension of the result.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::fcdda2e3b575601c4fb149c28da9ef2b https://doi.org/10.1016/j.topol.2019.106844 Zobrazit plný text záznamu Full Text from ScienceDirect