STOCHASTIC EQUATIONS AND DIRICHLET OPERATORS ON INFINITE PRODUCT MANIFOLDS-Reference-Cited by-同舟云学术

STOCHASTIC EQUATIONS AND DIRICHLET OPERATORS ON INFINITE PRODUCT MANIFOLDS

Published:2003-09 Issue:03 Volume:06 Page:455-488
ISSN:0219-0257
Container-title:Infinite Dimensional Analysis, Quantum Probability and Related Topics
language:en
Short-container-title:Infin. Dimens. Anal. Quantum. Probab. Relat. Top.

Author:

ALBEVERIO SERGIO¹,DALETSKII ALEXEI¹²,KONDRATIEV YURI¹

Affiliation:

1. Institut für Angewandte Mathematik, Universität Bonn, Wegelerstr. 6, D 53115 Bonn, SFB 256 (Bonn), BiBoS, Germany

2. School of Computing and Mathematics, Nottingham Trent University, Burton Street, Nottingham NC1 4BU, UK

Abstract

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Mathematical Physics,Statistics and Probability,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219025703001298

Reference52 articles.

1. Smoothing Properties of Semigroups for Dirichlet Operators of Gibbs Measures

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