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
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.
|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|
|Publisher:||World Scientific Publishing Company.|