论文标题
基于里程表的系统
Odometer Based Systems
论文作者
论文摘要
构造序列是一种构建符号变化的通用方法，可以捕获切割和堆栈的结构，并且足够一般，可以提供Anosov-Katok差异性的符号表示。我们在这里表明，任何具有里程表因子的有限熵系统都可以表示为特殊的施工序列，即基于里程表的构造序列，该序列与那些不使用垫片的切割和堆栈结构相对应。我们还表明，任何称为“小单词条件”的其他属性也可以以统一的方式满足。
Construction sequences are a general method of building symbolic shifts that capture cut-and-stack constructions and are general enough to give symbolic representations of Anosov-Katok diffeomorphisms. We show here that any finite entropy system that has an odometer factor can be represented as a special class of construction sequences, the odometer based construction sequences which correspond to those cut-and-stack constructions that do not use spacers. We also show that any additional property called the "small word condition" can also be satisfied in a uniform way.
