A note on weak convergence of the n-point motions of Harris flows

V. V. Fomichov
Theory of Stochastic Processes
Vol.21 (37), no.2, 2016, pp.4-13
In this note we extend the main results of [2] and [8], which concern the weak convergence of the n-point motions of smooth Harris flows to those of the Arratia flow, to the case when the covariance functions of these Harris flows converge pointwise to a covariance function whose support is of zero Lebesgue measure.