论文标题
强烈同步传感器的核心增长
The core growth of strongly synchronizing transducers
论文作者
论文摘要
我们介绍了强烈同步传感器的“核心增长率”的概念。我们探索核心增长率的一些基本特性，并提供具有指数核心增长率的换能器的例子。我们猜想，所有生成无限顺序的自动机组的强烈同步换能器都具有指数核心的生长速度。与单方面移动的自动形态群体有联系。更具体地说，本文的结果与一个问题是否存在无限多根的单面移动的无限级自动形态有关。
We introduce the notion of `core growth rate' for strongly synchronizing transducers. We explore some elementary properties of the core growth rate and give examples of transducers with exponential core growth rate. We conjecture that all strongly synchronizing transducers which generate an automaton group of infinite order have exponential core growth rate. There is a connection to the group of automorphisms of the one-sided shift. More specifically, the results of this article are related to the question of whether or not there can exist infinite order automorphisms of the one-sided shift with infinitely many roots.
