Hyperspace System Induced by a Class of Non-primitive Substitutions

Wei Wang, Jian Li, Xin Zhao
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Abstract

This paper considers the sub shifts induced by a class of non-primitive constant-length substitutions on two symbols. The authors give a sufficient condition for hyperspace system induced by such a sub shift to be Li-Yorke chaotic. Furthermore, the authors proof a sufficient condition for the hyperspace system mentioned above to have 0 topological entropy.
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一类非原元替换诱导的超空间系统
本文研究一类非本元常长替换在两个符号上引起的子位移。给出了由这种子位移引起的超空间系统为Li-Yorke混沌的一个充分条件。进一步证明了上述超空间系统拓扑熵为0的一个充分条件。
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