Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
419318 | Discrete Applied Mathematics | 2015 | 5 Pages |
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.
Keywords
Related Topics
Physical Sciences and Engineering
Computer Science
Computational Theory and Mathematics
Authors
Guanzhong Ma,