Article ID Journal Published Year Pages File Type
1155982 Stochastic Processes and their Applications 2011 34 Pages PDF
Abstract

We derive a satisfying rate of convergence of the Marcus–Lushnikov process towards the solution to Smoluchowski’s coagulation equation. Our result applies to a class of homogeneous-like coagulation kernels with homogeneity degree ranging in (−∞,1](−∞,1]. It relies on the use of a Wasserstein-type distance, which has shown to be particularly well-adapted to coalescence phenomena. It was introduced and used in preceding works (Fournier and Laurençot (2006) [7]) and (Fournier and Löcherbach (2009) [8]).

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Physical Sciences and Engineering Mathematics Mathematics (General)
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