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Stochastic equations and Dirichlet operators on infinite product manifolds

Alberverio, S., Daletskii, A. and Kondratiev, Y. (2003) Stochastic equations and Dirichlet operators on infinite product manifolds. Infinite Dimensional Analysis, Quantum Probability and Related Topics, 6 (3). pp. 455-488. ISSN 0219-0257

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We discuss elements of stochastic analysis on product manifolds (infinite products of compact Riemannian manifolds). We introduce differentiable structures on product manifolds and prove the existence and uniqueness theorem for stochastic differential equations on them. This result is applied to the construction of Glauber dynamics for classical lattice models with compact spin spaces.

Item Type: Article
Institution: The University of York
Academic Units: The University of York > Mathematics (York)
Depositing User: York RAE Import
Date Deposited: 15 May 2009 13:32
Last Modified: 15 May 2009 13:32
Published Version: http://dx.doi.org/10.1142/S0219025703001298
Status: Published
Publisher: World Scientific Publishing Company.
Identification Number: 10.1142/S0219025703001298
URI: http://eprints.whiterose.ac.uk/id/eprint/6331

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