Open Access
June 2009 Denjoy Systems and Substitutions
Kenichi MASUI
Tokyo J. Math. 32(1): 33-53 (June 2009). DOI: 10.3836/tjm/1249648408


We study a way of coding of irrational rotations, by which Denjoy systems are represented as subshifts. First, we state the subshift generated by a coding sequence is conjugate to a Denjoy system. Next, by using an adic model of a Denjoy system we give a sequence of substitutions to generate the coding sequence.


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Kenichi MASUI. "Denjoy Systems and Substitutions." Tokyo J. Math. 32 (1) 33 - 53, June 2009.


Published: June 2009
First available in Project Euclid: 7 August 2009

zbMATH: 1247.37013
MathSciNet: MR2541153
Digital Object Identifier: 10.3836/tjm/1249648408

Rights: Copyright © 2009 Publication Committee for the Tokyo Journal of Mathematics

Vol.32 • No. 1 • June 2009
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