Constructing Nonhomeomorphic Stochastic Flows

Download or read book Constructing Nonhomeomorphic Stochastic Flows written by R. W. R. Darling and published by American Mathematical Soc.. This book was released on 1987 with total page 109 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this article is the construction of stochastic flows from the finite-dimensional distributions without any smoothness assumptions. Also examines the relation between covariance functions and finite-dimensional distributions. The stochastic continuity of stochastic flows in the time parameter are proved in each section. These results give some extensions of the results obtained by Harris, by Baxendale and Harris and by other authors. In particular, the author studies coalescing flows, which were introduced by Harris for the study of flows of nonsmooth maps.