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A note on weak convergence of the $n$-point motions of Harris flows
V. V. Fomichov Institute of Mathematics, National Academy of Sciences of Ukraine, Tereshchenkivska str. 3, Kiev 01004, Ukraine
Abstract:
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.
Keywords:
Harris flows, Brownian stochastic flows, $n$-point motions, weak convergence.
Citation:
V. V. Fomichov, “A note on weak convergence of the $n$-point motions of Harris flows”, Theory Stoch. Process., 21(37):2 (2016), 4–13
Linking options:
https://www.mathnet.ru/eng/thsp158 https://www.mathnet.ru/eng/thsp/v21/i2/p4
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