AI 中文总结
该注记放宽了Kanigowski和Ravotti提出的好特殊流定义，将其用于证明n≥3维环面上的Fayad流是任意阶混合的。
AI 中文摘要
在这篇短注中，我们证明了Kanigowski和Ravotti工作中的某个定义可以被放宽。更具体地说，我们证明了好特殊流（即呈现混合、Birkhoff和剪切机制的流）的定义可以被放宽。具体而言，我们证明了基的几乎划分（沿流方向均匀剪切）对应的 disintegration（ disintegration 可译为“ disintegration 分解”，此处保留专业术语）可以依赖于k元时间组。本注记是作者关于流的高阶混合文章的补充材料（细节见注记），我们使用好特殊流的新定义证明了n维环面（n≥3）上的Fayad流是任意阶混合的。
英文摘要
In this short note we show that certain definition from the work of Kanigowski and Ravotti can be relaxed. More specifically, we show that the definition of good special flows, that is, flows exhibiting a form of mechanism of mixing, shearing of Birkhoff sums can be relaxed. Specifically, we show that the disintegration corresponding to almost partitions, which are uniformly sheared along the direction of the flow, of the base can depend on $k$-tuple of times. This note serves as a complementary material to an article on mixing of higher order in flows of the author (details in the note), where we use the new definition of good special flows to show that flows of Fayad on $n$-torus, $n\geq 3$, are mixing of any order.
