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Central limit theorem for hierarchical Dyson's model with small $\beta$
Teoriâ veroâtnostej i ee primeneniâ, Tome 27 (1982) no. 1, pp. 182-187 Cet article a éte moissonné depuis la source Math-Net.Ru

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It is shown that the central limit theorem holds for the average spin in the infinite hierarhical Dyson's model with small $\beta$. This result implies the equivalence of canonical and grand canonical ansambles. 
@article{TVP_1982_27_1_a19,
     author = {A. Naim\v{z}anov},
     title = {Central limit theorem for hierarchical {Dyson's} model with small $\beta$},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {182--187},
     year = {1982},
     volume = {27},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_1982_27_1_a19/}
}
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A. Naimžanov. Central limit theorem for hierarchical Dyson's model with small $\beta$. Teoriâ veroâtnostej i ee primeneniâ, Tome 27 (1982) no. 1, pp. 182-187. http://geodesic.mathdoc.fr/item/TVP_1982_27_1_a19/