Solving stochastic differential equations on Homeo(S-1)

摘要

The Brownian motion with respect to the metric H-3/2 on Diff(S-1) has been constructed. It is realized on the group of homeomorphisms Homeo(S-1). In this work, we shall resolve the stochastic differential equations on Homeo(S-1) for a given drift Z. (C) 2003 Elsevier Inc. All rights reserved.