We show that typical interval exchange transformations on three intervals are not 2-simple answering a question of Veech. Moreover, the set of self-joinings of almost every 3-IET is a Poulsen simplex.

中文翻译：

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3-IET 的自连接

我们表明，三个区间的典型区间交换转换不是回答 Veech 问题的 2-简单。此外，几乎每个 3-IET 的自连接集都是 Poulsen 单纯形。