Iterated logarithm law for sizes of clusters in Arratia flow
Probability
2019-10-01 v1
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
Cite
@article{arxiv.1310.6692,
title = {Iterated logarithm law for sizes of clusters in Arratia flow},
author = {A. A. Dorogovtsev and A. V. Gnedin and M. B. Vovchanskii},
journal= {arXiv preprint arXiv:1310.6692},
year = {2019}
}
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7 pages