A Piecewise Rotation of the Circle, IPR Maps and Their Connection withTranslation Surfaces
A Piecewise Rotation of the Circle, IPR Maps and Their Connection withTranslation Surfaces
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圆的分段旋转、IPR图及其与平移面的联系
DOI：
10.1007/978-3-319-74908-2_19
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发表时间：
2018
期刊：
影响因子：
--
通讯作者：
Hitoshi Nakada
中科院分区：
文献类型：
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作者：
Kae Inoue;Hitoshi Nakada
对于给定的正整数sdj，，even，我们构造了一个具有间断点的圆的分段旋转映射，使得它的临界迭代生成具有奇异阶sdj，，和与此奇异阶相关联的任何Rauzy类的平移曲面。分段旋转映射的构造是组合的，而平移曲面的构造是基于Cruz和da罗查的思想。
For given positive integersdj,,even, we construct a piecewise rotation map of the circle withdiscontinuous points such that its critical iterates generate translation surfaces with singularity ordersdj,, and with any Rauzy class associated to this singularity orders. The construction of the piecewise rotation map is combinatorial, on the other hand, the construction of the translation surfaces is based on the idea by Cruz and da Rocha.