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AN IMPROVED LOWER BOUND FOR THE CRITICAL PARAMETER OF STAVSKAYA’S PROCESS

2020; Cambridge University Press; Volume: 102; Issue: 3 Linguagem: Inglês

10.1017/s0004972720000404

ISSN

1755-1633

Autores

A. D. Ramos, Caliteia S. Sousa, Pablo M. Rodríguez, Paula Cadavid,

Tópico(s)

advanced mathematical theories

Resumo

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.

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