Mathematics – Probability
Scientific paper
2007-04-30
Mathematics
Probability
18 pages
Scientific paper
We examine the total number of collisions $C_n$ in the $\Lambda$-coalescent
process which starts with $n$ particles. A linear growth and a stable limit law
for $C_n$ are shown under the assumption of a power-like behaviour of the
measure $\Lambda$ near 0 with exponent $0<\alpha<1$.
Gnedin Alexander
Yakubovich Yuri
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