FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2000, VOLUME 6, NUMBER 1, PAGES 133-142

On the lifetime of configurations in homogeneous structures

A. S. Doumov

Abstract

View as HTML     View as gif image    View as LaTeX source

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 $xx|V|$, it has been established that the number $n$~ L_V(D) of states of the cell is necessary and sufficient in order that for any positive integer $d$, $d$£ 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 $d$.

All articles are published in Russian.

Location: http://mech.math.msu.su/~fpm/eng/k00/k001/k00111h.htm
Last modified: April 11, 2000