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

• Datum: 1997
• Hauptverfasser: Daletskii, A. Yu., Kondratiev, Yu. G., Далецький, А. Ю., Кондратьєв, Ю. Г.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 1997
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/5011
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

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.