%0 Journal Article %T Stochastic processes on geometric loop and diffeomorphism groups of real and complex manifolds, associated unitary representations %A S. V. Ludkovsky %J Mathematics %D 2001 %I arXiv %X Stochastic processes are considered on free loop spaces, geometric loop and diffeomorphism groups of real and complex manifolds. They are used for investigations of Wiener differentiable quasi-invariant measures on such groups relative to dense subgroups. There are considered finite-dimensional and also infinite-dimensional manifolds. Such measures are used for the investigation of associated unitary representations of these groups. %U http://arxiv.org/abs/math/0102222v2