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December 2009 Three-Interval Exchange Transformation and its Odometer Representation
Yuko ICHIKAWA, Shunji ITO
Tokyo J. Math. 32(2): 447-469 (December 2009). DOI: 10.3836/tjm/1264170243

Abstract

It is well known that 2-interval exchange transformation is isomorphic to the odometer transformation on some symbolic space and isomorphism is given by Ostrowski representation formula. The purpose of this paper is to extend these results to the case of 3-interval exchange transformation.

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Yuko ICHIKAWA. Shunji ITO. "Three-Interval Exchange Transformation and its Odometer Representation." Tokyo J. Math. 32 (2) 447 - 469, December 2009. https://doi.org/10.3836/tjm/1264170243

Information

Published: December 2009
First available in Project Euclid: 22 January 2010

zbMATH: 1196.37007
MathSciNet: MR2589956
Digital Object Identifier: 10.3836/tjm/1264170243

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

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Vol.32 • No. 2 • December 2009
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