Geodesic
Invariant random boolean fields
Matematičeskie zametki, Tome 6 (1969) no. 5, pp. 555-566.

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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. 
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     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},
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     number = {5},
     year = {1969},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1969_6_5_a5/}
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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/