More on Tame Dynamical Systems

More on Tame Dynamical Systems
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DOI:
10.1007/978-3-319-74908-2_18
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发表时间:
2023-02
期刊:
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影响因子:
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通讯作者:
E. Glasner;M. Megrelishvili
E. Glasner;M. Megrelishvili
中科院分区:
其他
文献类型:
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作者:
E. Glasner;M. Megrelishvili

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在这项工作中,一方面,我们调查和扩大有关驯服动力系统的旧结果,另一方面,证明了一些新的结果,并展示了新的例子,这样的系统。特别是,我们研究驯服符号系统,并建立一个整洁的特征驯服子移位。我们还提供了充分的条件,确保某些编码功能是驯服的。最后,我们讨论的例子中,某些普遍的动力系统与一些波兰集团驯服。
In this work, on the one hand, we survey and amplify old results concerning tame dynamical systems and, on the other, prove some new results and exhibit new examples of such systems. In particular, we study tame symbolic systems and establish a neat characterization of tame subshifts. We also provide sufficient conditions which ensure that certain coding functions are tame. Finally we discuss examples where certain universal dynamical systems associated with some Polish groups are tame.