An improved lower bound for the critical parameter of the Stavskaya's process

Autor: Ramos, Alex D., Sousa, Caliteia S., Rodriguez, Pablo M., Cadavid, Paula
Rok vydání: 2020
Předmět:
Druh dokumentu: Working Paper
Popis: 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.
Databáze: arXiv