Article ID Journal Published Year Pages File Type
419318 Discrete Applied Mathematics 2015 5 Pages PDF
Abstract

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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Related Topics
Physical Sciences and Engineering Computer Science Computational Theory and Mathematics
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