Characterization of rotation words generated by homeomorphisms on a circle.
Discrete Applied Mathematics(2015)
摘要
In this note we study the words generated by orientation preserving homeomorphisms on a circle. We show that the word is eventually periodic if the rotation number is rational, otherwise either the word is identically 0 except for one place or it is a linear rotation word. We also discuss the unique generation of irrational linear rotation words.
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关键词
Rotation number,Linear rotation word
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