Open Access
October, 2007 Recursively renewable words and coding of irrational rotations
Shigeki AKIYAMA, Masayuki SHIRASAKA
J. Math. Soc. Japan 59(4): 1199-1234 (October, 2007). DOI: 10.2969/jmsj/05941199

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.

Citation

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Shigeki AKIYAMA. Masayuki SHIRASAKA. "Recursively renewable words and coding of irrational rotations." J. Math. Soc. Japan 59 (4) 1199 - 1234, October, 2007. https://doi.org/10.2969/jmsj/05941199

Information

Published: October, 2007
First available in Project Euclid: 10 December 2007

zbMATH: 1132.37008
MathSciNet: MR2370011
Digital Object Identifier: 10.2969/jmsj/05941199

Subjects:
Primary: 37B10
Secondary: 11A63 , 11J70 , 37E05 , 68R15

Keywords: Continued fraction , interval exchange , irrational rotation , substitution

Rights: Copyright © 2007 Mathematical Society of Japan

Vol.59 • No. 4 • October, 2007
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