On a~local limit theorem for a~class of random point fields appearing in quantum statistical mechanics
Teoriâ veroâtnostej i ee primeneniâ, Tome 23 (1978) no. 3, pp. 580-593
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A local limit theorem is proved for a class of marked random point fields which appear in quantum statistical mechanics. This allows us to prove the equivalence of the canonical and grand canonical Gibbs'ensembles for infinite quantum systems with small densities.
@article{TVP_1978_23_3_a7,
author = {Yu. R. Da\v{s}yan},
title = {On a~local limit theorem for a~class of random point fields appearing in quantum statistical mechanics},
journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
pages = {580--593},
publisher = {mathdoc},
volume = {23},
number = {3},
year = {1978},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TVP_1978_23_3_a7/}
}
TY - JOUR AU - Yu. R. Dašyan TI - On a~local limit theorem for a~class of random point fields appearing in quantum statistical mechanics JO - Teoriâ veroâtnostej i ee primeneniâ PY - 1978 SP - 580 EP - 593 VL - 23 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TVP_1978_23_3_a7/ LA - ru ID - TVP_1978_23_3_a7 ER -
%0 Journal Article %A Yu. R. Dašyan %T On a~local limit theorem for a~class of random point fields appearing in quantum statistical mechanics %J Teoriâ veroâtnostej i ee primeneniâ %D 1978 %P 580-593 %V 23 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/item/TVP_1978_23_3_a7/ %G ru %F TVP_1978_23_3_a7
Yu. R. Dašyan. On a~local limit theorem for a~class of random point fields appearing in quantum statistical mechanics. Teoriâ veroâtnostej i ee primeneniâ, Tome 23 (1978) no. 3, pp. 580-593. http://geodesic.mathdoc.fr/item/TVP_1978_23_3_a7/