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

  • A. Yu. Daletskii
  • Yu. G. Kondratiev

Abstract

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.
Published
25.03.1997
How to Cite
DaletskiiA. Y., and KondratievY. G. “Infinite Systems of Stochastic Differential Equations and Some Lattice Models on Compact Riemannian Manifolds”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 49, no. 3, Mar. 1997, pp. 326–337, https://umj.imath.kiev.ua/index.php/umj/article/view/5011.
Section
Research articles