论文标题
改进的下限，用于stavskaya过程的关键参数
An improved lower bound for the critical parameter of the Stavskaya's process
论文作者
论文摘要
我们考虑了stavskaya的过程，该过程是在一维晶格上定义的两态概率的Celular自动机。该过程的定义方式是任何顶点的状态仅取决于自身以及其右邻居的状态。该过程是具有局部相互作用的第一个多组分系统之一，已严格证明存在一种相变。但是，其临界价值的确切本地化仍然是一个空旷的问题。在这项工作中，我们为临界价值提供了新的下限。最后一个是由五十年前的安德烈·托姆（Andrei Toom）获得的。
We consider the Stavskaya's process, which is a two-states Probabilistic Celular Automata defined on a one-dimensional lattice. The process is defined in such a way that the state of any vertex depends only on itself and on the state of its right-adjacent neighbor. This process was one of the first multicomponent systems with local interaction, for which has been proved rigorously the existence of a kind of phase transition. However, the exact localization of its critical value remains as an open problem. In this work we provide a new lower bound for the critical value. The last one was obtained by Andrei Toom, fifty years ago.
