On polymer expansions for generalized Gibbs lattice systems of oscillators with ternary interaction

• Published in: Український математичний журнал
• Date: 2013
• Main Author: Skrypnik, W.I.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2013
• Subjects: Статті
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/165326
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: On polymer expansions for generalized Gibbs lattice systems of oscillators with ternary interaction / W.I. Skrypnik // Український математичний журнал. — 2013. — Т. 65, № 5. — С. 689–697. — Бібліогр.: 6 назв. — англ.

We propose a new short proof of the convergence of high-temperature polymer expansions in the thermodynamic limit of canonical correlation functions for classical and quantum Gibbs lattice systems of oscillators interacting via pair and ternary potentials and nonequilibrium stochastic systems of osc...