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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

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

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Author(s):
RAMOS, A. L. E. X. D. [1] ; SOUSA, CALITeIA S. [1] ; RODRIGUEZ, P. A. B. L. O. M. [1] ; CADAVID, P. A. U. L. A. [2]
Total Authors: 4
Affiliation:
[1] Univ Fed Pernambuco, Dept Stat, BR-50740540 Recife, PE - Brazil
[2] Univ Fed ABC, BR-09210580 Santo Andre, SP - Brazil
Total Affiliations: 2
Document type: Journal article
Source: BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY; v. 102, n. 3, p. 517-524, DEC 2020.
Web of Science Citations: 0
Abstract

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. (AU)

FAPESP's process: 17/10555-0 - Stochastic modeling of interacting systems
Grantee:Fabio Prates Machado
Support Opportunities: Research Projects - Thematic Grants