Matematičeskie zametki, Tome 6 (1969) no. 5, pp. 555-566
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Yu. K. Belyaev; Yu. I. Gromak; V. A. Malyshev. Invariant random boolean fields. Matematičeskie zametki, Tome 6 (1969) no. 5, pp. 555-566. http://geodesic.mathdoc.fr/item/MZM_1969_6_5_a5/
@article{MZM_1969_6_5_a5,
author = {Yu. K. Belyaev and Yu. I. Gromak and V. A. Malyshev},
title = {Invariant random boolean fields},
journal = {Matemati\v{c}eskie zametki},
pages = {555--566},
year = {1969},
volume = {6},
number = {5},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1969_6_5_a5/}
}
TY - JOUR
AU - Yu. K. Belyaev
AU - Yu. I. Gromak
AU - V. A. Malyshev
TI - Invariant random boolean fields
JO - Matematičeskie zametki
PY - 1969
SP - 555
EP - 566
VL - 6
IS - 5
UR - http://geodesic.mathdoc.fr/item/MZM_1969_6_5_a5/
LA - ru
ID - MZM_1969_6_5_a5
ER -
%0 Journal Article
%A Yu. K. Belyaev
%A Yu. I. Gromak
%A V. A. Malyshev
%T Invariant random boolean fields
%J Matematičeskie zametki
%D 1969
%P 555-566
%V 6
%N 5
%U http://geodesic.mathdoc.fr/item/MZM_1969_6_5_a5/
%G ru
%F MZM_1969_6_5_a5
In the set of finite binary sequences a Markov process is defined with discrete time in which each symbol of the binary sequence at time $t+1$ depends on the two neighboring symbols at time $t$. A proof is given of the existence and uniqueness of an invariant distribution, and its derivation is also given in a number of cases.
