Characterizing Gaussian flows arising from Itō's stochastic differential equations
arXiv:1410.4633 · doi:10.1007/s11118-016-9578-6
Abstract
We introduce and characterize a class of flows, which turn out to be Gaussian. This characterization allows us to show, using the Monotonicity inequality, that the transpose of the flow, for an extended class of initial conditions, is the unique solution of the SPDE introduced in Rajeev and Thangavelu (2008).