Laws of Large Numbers for a Cellular Automaton
Cai, Haiyan ; Luo, Xiaolong
Ann. Probab., Tome 21 (1993) no. 4, p. 1413-1426 / Harvested from Project Euclid
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We prove laws of large numbers for a cellular automaton in the space $\{0,1,\ldots,p - 1\}^Z$ with $p$ being a prime number. The dynamics $\tau$ of the system are defined by $\tau\eta(x) = \eta(x - 1) + \eta(x + 1) \operatorname{mod} p$ for $\eta \in X$.
Publié le : 1993-07-14
Classification:  Law of large numbers,  characteristic function,  cellular automaton,  Pascal's triangle $\mod p$,  60K35 
@article{1176989124,
     author = {Cai, Haiyan and Luo, Xiaolong},
     title = {Laws of Large Numbers for a Cellular Automaton},
     journal = {Ann. Probab.},
     volume = {21},
     number = {4},
     year = {1993},
     pages = { 1413-1426},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1176989124}
}

Cai, Haiyan; Luo, Xiaolong. Laws of Large Numbers for a Cellular Automaton. Ann. Probab., Tome 21 (1993) no. 4, pp.  1413-1426. http://gdmltest.u-ga.fr/item/1176989124/