Denjoy Systems and Substitutions
Kenichi MASUI
Source: Tokyo J. of Math.
Volume 32, Number 1
(2009), 33-53.
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.
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Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.tjm/1249648408
Digital Object Identifier: doi:10.3836/tjm/1249648408
Mathematical Reviews number (MathSciNet):
MR2541153
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