FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA
(FUNDAMENTAL AND APPLIED MATHEMATICS)
2000, VOLUME 6, NUMBER 1, PAGES 133-142
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 $ 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 $d$ .
All articles are published in Russian.
Main page | Contents of the journal | News | Search |
Location: http://mech.math.msu.su/~fpm/eng/k00/k001/k00111t.htm
Last modified: April 11, 2000