On Polymer Expansion for Gibbsian States of Nonequilibrium Systems of Interacting Brownian Oscillators

• Published in: Український математичний журнал
• Date: 2003
• Main Author: Skrypnik, W.I.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2003
• Subjects: Статті
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/164105
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: On Polymer Expansion for Gibbsian States of Nonequilibrium Systems of Interacting Brownian Oscillators / W.I. Skrypnik // Український математичний журнал. — 2003. — Т. 55, № 10. — С. 1356–1377. — Бібліогр.: 13 назв. — англ.

The convergence of polymer cluster expansions for correlation functions of general Gibbs oscillator-type systems and related nonequilibrium systems of Brownian oscillators is established. The initial states for the latter are Gibbsian. It is proved that the sequence of the constructed correlation fu...