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

Authors

  • 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

Issue

Section

Research articles

How to Cite

Daletskii, A. Yu., and Yu. G. Kondratiev. “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.