RUS  ENG
Full version
JOURNALS // Itogi Nauki i Tekhniki. Seriya "Teoriya Veroyatnostei. Matematicheskaya Statistika. Teoreticheskaya Kibernetika" // Archive
Itogi Nauki i Tekhniki. Ser. Teor. Veroyatn. Mat. Stat. Teor. Kibern., 1981 Volume 18, Pages 3–51 (Mi intv45)
This article is cited in 5 papers

Duality transformations of Gibbs random fields

V. A. Malyshev, E. N. Petrova


Abstract: 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.

UDC: 519.248:53


 English version: Journal of Soviet Mathematics, 1983, 21:6, 877–909

Bibliographic databases:

© Steklov Math. Inst. of RAS, 2024