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Theory of Stochastic Processes, 2012, Volume 18(34), Issue 2, Pages 1–7 (Mi thsp24)  
This article is cited in 1 scientific paper (total in 1 paper)

Iterated logarithm law for sizes of clusters in Arratia flow

A. A. Dorogovtseva, A. V. Gnedinb, M. B. Vovchanskiia

a Institute of Mathematics of the NAS of Ukraine
b Queen Mary, University of London
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Abstract: The asymptotics of sizes of clusters for the Arratia flow is considered, the Arratia flow being a system of coalescing Wiener processes starting from the real axis and independent before they meet. A cluster at time $t$ is defined as a set of particles that have glued together not later than at $t.$ The results obtained are remarked to hold for any Arratia flow with a Lipschitz drift.
Keywords: Arratia flow, cluster, Brownian motion, Gaussian processes, concentration of measure.
Bibliographic databases:
Document Type: Article
MSC: Primary 60J65; Secondary 60D05
Language: English
Citation: A. A. Dorogovtsev, A. V. Gnedin, M. B. Vovchanskii, “Iterated logarithm law for sizes of clusters in Arratia flow”, Theory Stoch. Process., 18(34):2 (2012), 1–7
Citation in format AMSBIB
\Bibitem{DorGneVov12}
\by A.~A.~Dorogovtsev, A.~V.~Gnedin, M.~B.~Vovchanskii
\paper Iterated logarithm law for sizes of clusters in Arratia flow
\jour Theory Stoch. Process.
\yr 2012
\vol 18(34)
\issue 2
\pages 1--7
\mathnet{http://mi.mathnet.ru/thsp24}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3124769}
\zmath{https://zbmath.org/?q=an:1289.60132}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Theory of Stochastic Processes
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