0-1符号空间上的*积子移位

* Product Subshifts on 0-1 Symbol Space

参照Feigenbaum搓揉子移位的定义,给出了*积子移位的概念,并通过探讨*积子移位与代换子移位的关系,利用代换子移位的已有结果证明了每个*积子移位都是极小的、惟一遍历的以及在Li-Yorke意义下非混沌且具有零拓扑熵,由此推出每个Feigenbaum搓揉子移位也具有上述性质.

Following Feigenbaum＇ s kneading subshifts, we introduced the notion of ＊ product subshift under the wider sense. By investigating the relationship between ＊ product subshift and substitution subshift, and by using the known results on substitution subshifts, we proved that every ＊ product subshift is minimal,uniquely ergodic, non-chaotic in the sense of Li and Yorke and has zero topological entropy, from which we deduced that every Feigenbaum＇ s kneading subshift also exhibits the above properties.