Geodesic
Infinite-dimensional Markov processes with almost local interaction of components
Teoriâ veroâtnostej i ee primeneniâ, Tome 21 (1976) no. 4, pp. 727-740 Cet article a éte moissonné depuis la source Math-Net.Ru

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We consider Markov systems with many interacting components. When the number of components increases, some sufficient conditions for the existence of a limiting Markov process are given. These conditions mean that the interaction intensity decreases when the distance between components grows. 
@article{TVP_1976_21_4_a3,
     author = {V. Ya. Basis},
     title = {Infinite-dimensional {Markov} processes with almost local interaction of components},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {727--740},
     year = {1976},
     volume = {21},
     number = {4},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_1976_21_4_a3/}
}
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V. Ya. Basis. Infinite-dimensional Markov processes with almost local interaction of components. Teoriâ veroâtnostej i ee primeneniâ, Tome 21 (1976) no. 4, pp. 727-740. http://geodesic.mathdoc.fr/item/TVP_1976_21_4_a3/