LAWS OF LARGE NUMBERS FOR A CELLULAR-AUTOMATON

Authors
CAI HY LUO XL
Citation
Hy. Cai et Xl. Luo, LAWS OF LARGE NUMBERS FOR A CELLULAR-AUTOMATON, Annals of probability, 21(3), 1993, pp. 1413-1426
Citations number
5
Categorie Soggetti
Statistic & Probability","Statistic & Probability
Journal title
Annals of probability → ACNP
ISSN journal
00911798
Volume
21
Issue
3
Year of publication
1993
Pages
1413 - 1426
Database
ISI
SICI code
0091-1798(1993)21:3<1413:LOLNFA>2.0.ZU;2-G
Abstract
We prove laws of large numbers for a cellular automaton in the space { 0,1,..., p - 1}Z with p being a prime number. The dynamics tau of the system are defined by taueta(x) = eta(x - 1) + eta(x + 1) mod p for et a is-an-element-of X.