Itogi nauki i tehniki. Seriâ, Teoriâ veroâtnostej. Matematičeskaâ statistika. Teoretičeskaâ kibernetika, Itogi Nauki i Tekhniki. Seriya "Teoriya Veroyatnostei. Matematicheskaya Statistika. Teoreticheskaya Kibernetika", Tome 18 (1981), pp. 3-51
Citer cet article
V. A. Malyshev; E. N. Petrova. Duality transformations of Gibbs random fields. Itogi nauki i tehniki. Seriâ, Teoriâ veroâtnostej. Matematičeskaâ statistika. Teoretičeskaâ kibernetika, Itogi Nauki i Tekhniki. Seriya "Teoriya Veroyatnostei. Matematicheskaya Statistika. Teoreticheskaya Kibernetika", Tome 18 (1981), pp. 3-51. http://geodesic.mathdoc.fr/item/INTV_1981_18_a0/
@article{INTV_1981_18_a0,
author = {V. A. Malyshev and E. N. Petrova},
title = {Duality transformations of {Gibbs} random fields},
journal = {Itogi nauki i tehniki. Seri\^a, Teori\^a vero\^atnostej. Matemati\v{c}eska\^a statistika. Teoreti\v{c}eska\^a kibernetika},
pages = {3--51},
year = {1981},
volume = {18},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/INTV_1981_18_a0/}
}
TY - JOUR
AU - V. A. Malyshev
AU - E. N. Petrova
TI - Duality transformations of Gibbs random fields
JO - Itogi nauki i tehniki. Seriâ, Teoriâ veroâtnostej. Matematičeskaâ statistika. Teoretičeskaâ kibernetika
PY - 1981
SP - 3
EP - 51
VL - 18
UR - http://geodesic.mathdoc.fr/item/INTV_1981_18_a0/
LA - ru
ID - INTV_1981_18_a0
ER -
%0 Journal Article
%A V. A. Malyshev
%A E. N. Petrova
%T Duality transformations of Gibbs random fields
%J Itogi nauki i tehniki. Seriâ, Teoriâ veroâtnostej. Matematičeskaâ statistika. Teoretičeskaâ kibernetika
%D 1981
%P 3-51
%V 18
%U http://geodesic.mathdoc.fr/item/INTV_1981_18_a0/
%G ru
%F INTV_1981_18_a0
The duality of Gibbs fields are examined in three forms: the Poisson summation formula, “electrodynamic” representation, and Hamiltonian duality. New low-temperature expansions are obtained and systems with nonsummable interaction are studied.
