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

zbMATH Open1374.60092arXiv1705.10240MaRDI QIDQ5271622

V. V. Fomichov

Publication date: 11 July 2017

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.

Full work available at URL: https://arxiv.org/abs/1705.10240

zbMATH Keywords

weak convergence\(n\)-point motionHarris flowsBrownian stochastic flow

Mathematics Subject Classification ID

Random fields (60G60) Central limit and other weak theorems (60F05) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Random measures (60G57)

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