Infinite systems of stochastic differential equations and some lattice models on compact Riemannian manifolds

• Published in: Український математичний журнал
• Date: 1997
• Main Authors: Albeverio, S., Daletskii, A.Yu., Kondrat’ev, Yu.G.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 1997
• Subjects: Статті
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/156752
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Infinite systems of stochastic differential equations and some lattice models on compact Riemannian manifolds / S. Albeverio, Yu. DaletskiiYu, G. Kondrat’ev // Український математичний журнал. — 1997. — Т. 49, № 3. — С. 326–337. — Бібліогр.: 15 назв. — англ.

Stochastic dynamics associated with Gibbs measures on an infinite product of compact Riemannian manifolds is constructed. The probabilistic representations for the corresponding Feller semigroups are obtained. The uniqueness of the dynamics is proved. Побудовано стохастичиу динаміку, асоційовану з г...