Geodesic
On the lifetime of configurations in homogeneous structures
Fundamentalʹnaâ i prikladnaâ matematika, Tome 6 (2000) no. 1, pp. 133-142.

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The paper deals with the relationship between the lifetime of configurations and the number of states of a cell in homogeneous structures. For $K_V(n)$, which is a class of all homogeneous structures with $n$ states of the cell and the neighbourhood $V$ that includes all the vectors no longer than one, and $L_V(x)$, which is the reverse function for $x^{x^{|V|}}$, it has been established that the number $n\sim L_V(D)$ of states of the cell is necessary and sufficient in order that for any positive integer $d$, $ d\le D$, in the mentioned class of homogeneous structures, a structure $S$ could be found in which the lifetime of a certain one-cell configuration equals $d$. 
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     author = {A. Dumov},
     title = {On the lifetime of configurations in homogeneous structures},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {133--142},
     publisher = {mathdoc},
     volume = {6},
     number = {1},
     year = {2000},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_2000_6_1_a10/}
}
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A. Dumov. On the lifetime of configurations in homogeneous structures. Fundamentalʹnaâ i prikladnaâ matematika, Tome 6 (2000) no. 1, pp. 133-142. http://geodesic.mathdoc.fr/item/FPM_2000_6_1_a10/