Geodesic
Gibbsian random fields for particles without hard core
Teoretičeskaâ i matematičeskaâ fizika, Tome 4 (1970) no. 1, pp. 101-118 
R. L. Dobrushin. Gibbsian random fields for particles without hard core. Teoretičeskaâ i matematičeskaâ fizika, Tome 4 (1970) no. 1, pp. 101-118. http://geodesic.mathdoc.fr/item/TMF_1970_4_1_a11/
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     author = {R. L. Dobrushin},
     title = {Gibbsian random fields for particles without hard core},
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     url = {http://geodesic.mathdoc.fr/item/TMF_1970_4_1_a11/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

A study is made of the existence and uniqueness of a Gibbslan distribution of an infinite volume for particles without a hard core. Some bounds are also found for the probabilities of large density fluctuations in subvolumes.

[1] N. N. Bogolyubov, B. I. Khatset, DAN SSSR, 66 (1949), 321 | MR | Zbl

[2] R. L. Dobrushin, Funktsionalnyi analiz i ego prilozheniya, 2:4 (1968), 31 | MR | Zbl

[3] R. L. Dobrushin, Funktsionalnyi analiz i ego prilozheniya, 2:4 (1968), 44 | MR | Zbl

[4] R. L. Dobrushin, Funktsionalnyi analiz i ego prilozheniya, 3:1 (1969), 27 | MR | Zbl

[5] R. L. Dobrushin, Teoriya veroyatnostei i ee primeneniya, 13 (1968), 201

[6] R. L. Dobrushin, Teoriya veroyatnostei i ee primeneniya, 15:3 (1970), 469 | MR | Zbl

[7] R. L. Dobrushin, R. A. Minlos, Teoriya veroyatnostei i ee primeneniya, 12 (1967), 595 | MR

[8] R. L. Dobrushin, Teoriya veroyatnostei i ee primeneniya, 9 (1964), 626 | Zbl

[9] L. N. Vassershtein, Problemy peredachi informatsii, 5 (1969), 64

[10] N. Danford, D. Shvarts, Lineinye operatory, IL, 1962