Negative slope algorithm and multiplicative Rauzy induction of 3-interval exchange transformations

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概要

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• The induced transformation on a properly chosen interval of a 2-interval exchange transformation is a 2-interval exchange transformation again. This induction is explicitly integrated by using the simple continued fraction algorithm. Therefore, we can say that the simple continued fraction algorithm acts well as a ``multiplicative Rauzy induction" on the family of 2-interval exchange transformations. Now, we have the following question; On what kind of family of 3-interval exchange transformations does the negative slope algorithm act well as a multiplicative Rauzy induction? The purpose of this paper is to give the answer to this question.

• 広島大学の論文

著者

• Ito Shunji

  Division Of Lectrical Engineering And Computer Science Graduate School Of Natural Science And Techno

• Nakazawa Kazuko

  Division of Electrical Engineering and Computer Science Graduate School of Natural Science and Techn

• Ishimura Koshiro

  Department of Mathematics Keio University 3-14-1 Hiyoshi Kohoku-ku Yokohama 223-8522 Japan

• Nakazawa Kazuko

  Division Of Electrical Engineering And Computer Science Graduate School Of Natural Science And Techn

関連論文

• Negative slope algorithm and multiplicative Rauzy induction of 3-interval exchange transformations

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