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- W3105701414 abstract "We study topological mixing properties and the maximal equicontinuous factor of rank-one subshifts as topological dynamical systems. We show that the maximal equicontinuous factor of a rank-one subshift is finite. We also determine all the finite factors of a rank-one shift with a condition involving the cutting and spacer parameters. For rank-one subshifts with bounded spacer parameter we completely characterize weak mixing and mixing. For rank-one subshifts with unbounded spacer parameter we prove some sufficient conditions for weak mixing and mixing. We also construct some examples showing that the characterizations for the bounded spacer parameter case do not generalize to the unbounded spacer parameter case." @default.
- W3105701414 created "2020-11-23" @default.
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- W3105701414 date "2019-02-07" @default.
- W3105701414 modified "2023-10-18" @default.
- W3105701414 title "Topological mixing properties of rank‐one subshifts" @default.
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- W3105701414 doi "https://doi.org/10.1112/tlm3.12016" @default.
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