Tokyo Journal of Mathematics

Three-Interval Exchange Transformation and its Odometer Representation

Yuko ICHIKAWA and Shunji ITO

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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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Tokyo J. Math., Volume 32, Number 2 (2009), 447-469.

First available in Project Euclid: 22 January 2010

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ICHIKAWA, Yuko; ITO, Shunji. Three-Interval Exchange Transformation and its Odometer Representation. Tokyo J. Math. 32 (2009), no. 2, 447--469. doi:10.3836/tjm/1264170243.

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