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AN IMPROVED LOWER BOUND FOR THE CRITICAL PARAMETER OF STAVSKAYA’S PROCESS
Bulletin of the Australian Mathematical Society ( IF 0.7 ) Pub Date : 2020-05-13 , DOI: 10.1017/s0004972720000404
ALEX D. RAMOS , CALITÉIA S. SOUSA , PABLO M. RODRIGUEZ , PAULA CADAVID

We consider Stavskaya’s process, which is a two-state probabilistic cellular automaton defined on a one-dimensional lattice. The state of any vertex depends only on itself and on the state of its right-adjacent neighbour. This process was one of the first multicomponent systems with local interaction for which the existence of a kind of phase transition has been rigorously proved. However, the exact localisation of its critical value remains as an open problem. We provide a new lower bound for the critical value.

中文翻译:

改进的 STAVSKYA 工艺关键参数的下限

我们考虑 Stavskaya 过程,它是一个定义在一维格上的两态概率元胞自动机。任何顶点的状态仅取决于其自身及其右邻的状态。该过程是最早的具有局部相互作用的多组分系统之一,其中一种相变的存在已被严格证明。然而,其临界值的准确定位仍然是一个悬而未决的问题。我们为临界值提供了一个新的下限。
更新日期:2020-05-13
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