Denjoy Systems and Substitutions

Kenichi MASUI

doi:10.3836/tjm/1249648408

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Home > Journals > Tokyo J. Math. > Volume 32 > Issue 1 > Article

June 2009 Denjoy Systems and Substitutions

Kenichi MASUI

Tokyo J. Math. 32(1): 33-53 (June 2009). DOI: 10.3836/tjm/1249648408

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Abstract

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.