Negative slope algorithm and multiplicative Rauzy induction of 3-interval exchange transformations
Nakazawa, Kazuko ; Ishimura, Koshiro ; Ito, Shunji
Hiroshima Math. J., Tome 39 (2009) no. 1, p. 451-468 / Harvested from Project Euclid
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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.
Publié le : 2009-11-15
Classification:  Interval exchange transformation,  Rauzy induction,  37A05,  28D10 
@article{1257544217,
     author = {Nakazawa, Kazuko and Ishimura, Koshiro and Ito, Shunji},
     title = {Negative slope algorithm and multiplicative Rauzy induction of 3-interval
				exchange transformations},
     journal = {Hiroshima Math. J.},
     volume = {39},
     number = {1},
     year = {2009},
     pages = { 451-468},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1257544217}
}

Nakazawa, Kazuko; Ishimura, Koshiro; Ito, Shunji. Negative slope algorithm and multiplicative Rauzy induction of 3-interval
				exchange transformations. Hiroshima Math. J., Tome 39 (2009) no. 1, pp.  451-468. http://gdmltest.u-ga.fr/item/1257544217/