Constructing Nonhomeomorphic Stochastic Flows
Jan 1987 · American Mathematical Society: Memoirs of the American Mathematical Society Ibhuku elingu-376 · American Mathematical Soc.
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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.
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