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JOURNALS // Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya // Archive

Izv. Akad. Nauk SSSR Ser. Mat., 1975 Volume 39, Issue 6, Pages 1404–1433 (Mi im2098)

This article is cited in 9 papers

The existence of lattice models with several types of pariticles

S. A. Pirogov


Abstract: In this paper we consider classical lattice models more general than those previously considered. We find conditions for them under which there exist $r$ different limiting ergodic Gibbs distributions.
Bibliography: 16 titles.

UDC: 519.2

MSC: Primary 82A25; Secondary 60K35

Received: 26.03.1974


 English version:
Mathematics of the USSR-Izvestiya, 1975, 9:6, 1333–1357

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© Steklov Math. Inst. of RAS, 2025