Journal of the Mathematical Society of Japan
Online ISSN : 1881-1167
Print ISSN : 0025-5645
ISSN-L : 0025-5645
Recursively renewable words and coding of irrational rotations
Shigeki AKIYAMA, Masayuki SHIRASAKA
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Keywords: continued fraction, irrational rotation, interval exchange, substitution
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2007 Volume 59 Issue 4 Pages 1199-1234

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Abstract
A word generated by coding of irrational rotation with respect to a general decomposition of the unit interval is shown to have an inverse limit structure directed by substitutions. We also characterize primitive substitutive rotation words, as those having quadratic parameters.
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© 2007 The Mathematical Society of Japan
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