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
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.
Arratia flow, cluster, Brownian motion, Gaussian processes, concentration of measure.
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MSC: Primary 60J65; Secondary 60D05
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
\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.
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