On the number of collisions in $Λ$-coalescents

Alexander Gnedin, Yuri Yakubovich

Published 2007-04-30Version 1

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 $0<\alpha<1$.