Duality transformations of Gibbs random fields
Itogi nauki i tehniki. Seriâ, Teoriâ veroâtnostej. Matematičeskaâ statistika. Teoretičeskaâ kibernetika, Tome 18 (1981), pp. 3-51
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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.
@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},
publisher = {mathdoc},
volume = {18},
year = {1981},
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 PB - mathdoc 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 %I mathdoc %U http://geodesic.mathdoc.fr/item/INTV_1981_18_a0/ %G ru %F INTV_1981_18_a0
V. A. Malyshev; E. N. Petrova. Duality transformations of Gibbs random fields. Itogi nauki i tehniki. Seriâ, Teoriâ veroâtnostej. Matematičeskaâ statistika. Teoretičeskaâ kibernetika, Tome 18 (1981), pp. 3-51. http://geodesic.mathdoc.fr/item/INTV_1981_18_a0/