论文标题
一般间隔交换转换的语言
Languages of general interval exchange transformations
论文作者
论文摘要
在系统上的一些额外条件下，通过间隔交换转换产生的语言已经由Ferenczi-Zamboni（2008）和Belov-Cernyatev（2010）进行了特征。提升这些条件使我们考虑了标准间隔交换转换的自然编码，仿射间隔交换转换的自然编码，仿射间隔交换转换的分组编码以及广义间隔交换转换的自然编码。我们表明，这四类语言严格增加，并提供必要的和/或足够（但并非所有同样明确）的组合标准来描述每种标准。这些工作也是mutatis mutandis，用于与翻转间隔交换
The languages generated by interval exchange transformations have been characterized by Ferenczi-Zamboni (2008) and Belov-Cernyatev (2010) under some extra conditions on the system. Lifting these conditions leads us to consider successively natural codings of standard interval exchange transformations, natural codings of affine interval exchange transformations, grouped codings of affine interval exchange transformations, and natural codings of generalized interval exchange transformations. We show that these four classes of languages are strictly increasing, and give necessary and/or sufficient (but not all equally explicit) combinatorial criteria to describe each of them. These work also, mutatis mutandis, for interval exchanges with flips
