Geodesic
Iterated logarithm law for sizes of clusters in Arratia flow
Teoriâ slučajnyh processov, Tome 18 (2012) no. 2, pp. 1-7

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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. 
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     title = {Iterated logarithm law for sizes of clusters in {Arratia} flow},
     journal = {Teori\^a slu\v{c}ajnyh processov},
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     url = {http://geodesic.mathdoc.fr/item/THSP_2012_18_2_a0/}
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A. A. Dorogovtsev; A. V. Gnedin; M. B. Vovchanskii. Iterated logarithm law for sizes of clusters in Arratia flow. Teoriâ slučajnyh processov, Tome 18 (2012) no. 2, pp. 1-7. http://geodesic.mathdoc.fr/item/THSP_2012_18_2_a0/