Geodesic
Gibbs invariant measures for Markov chains on finite lattices with local interaction
Sbornik. Mathematics, Tome 21 (1973) no. 3, pp. 395-411 
O. N. Stavskaya. Gibbs invariant measures for Markov chains on finite lattices with local interaction. Sbornik. Mathematics, Tome 21 (1973) no. 3, pp. 395-411. http://geodesic.mathdoc.fr/item/SM_1973_21_3_a2/
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     author = {O. N. Stavskaya},
     title = {Gibbs invariant measures for {Markov} chains on finite lattices with local interaction},
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     year = {1973},
     volume = {21},
     number = {3},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1973_21_3_a2/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

This paper investigates Markov chains arising in describing the behavior of locally interacting elements of a finite lattice. The invertible case is investigated in detail. Bibliography: 4 titles.

[1] Yu. Shmukler, “Zadacha golosovaniya so sluchainoi oshibkoi”, DAN SSSR, 196:4 (1971), 789–792

[2] R. L. Dobrushin, “Markovskie protsessy s bolshim chislom lokalno vzaimodeistvuyuschikh komponent — obratimyi sluchai i nekotorye obobscheniya”, Problemy peredachi informatsii, VII:3 (1971), 57–66

[3] Yu. K. Belyaev, Yu. I. Gromak, V. A. Malyshev, “Ob invariantnykh sluchainykh bulevskikh polyakh”, Matem. zametki, 6:5 (1969), 555–566 | MR | Zbl

[4] M. B. Averintsev, “Opisanie markovskikh sluchainykh polei pri pomoschi gibbsovskikh uslovnykh veroyatnostei”, Teoriya veroyatn. i ee primen., XVII:1 (1972), 21–35