2017
Том 69
№ 9

All Issues

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

Albeverio S., Daletskii A. Yu., Kondratiev Yu. G.

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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.

English version (Springer): Ukrainian Mathematical Journal 49 (1997), no. 3, pp 360-372.

Citation Example: Albeverio S., Daletskii A. Yu., Kondratiev Yu. G. Infinite systems of stochastic differential equations and some lattice models on compact Riemannian manifolds // Ukr. Mat. Zh. - 1997. - 49, № 3. - pp. 326–337.

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