Construction of diffusions on configuration spaces (Q1581876)

This is a detailed article of monograph type devoted to substantial generalizations of previously developed theory of measures, diffusion processes, Dirichlet forms, etc., on configuration spaces over finite-dimensional Riemannian manifolds, and to completely new applications. In particular a complete proof for existence of diffusion on the configuration space associated to Dirichlet forms is given (previously only proofs of some special cases were published), etc.