论文标题
间隔重新安排合奏
Interval Rearrangement Ensembles
论文作者
论文摘要
我们介绍了一个间隔重排集合（IRE）的新概念，该概念是间隔交换转换（IET）的概括。这种结构根据我们确定的自然二元性扩大了IET的空间。 Rauzy \， - \，Veech种类适用于IRES。这是通过上述二元性与反向操作的共轭。 IRE的自然延伸与具有分支点的平坦翻译表面上的两个横向流有关。
We introduce a new concept of interval rearrangement ensembles (IRE), which is a generalization of interval exchange transformations (IET). This construction expands the space of IETs in accordance with the natural duality that we pinpoint. Induction of Rauzy\,--\,Veech kind is applicable to IREs. It is conjugate to the reverse operation by the duality mentioned above. A natural extension of an IRE is associated with two transversal flows on a flat translation surface with branching points.
