On Asymptotics of Exchangeable Coalescents with Multiple Collisions
On Asymptotics of Exchangeable Coalescents with Multiple Collisions
We study the number of collisions, X n , of an exchangeable coalescent with multiple collisions (Λ-coalescent) which starts with n particles and is driven by rates determined by a finite characteristic measure η(d x ) = x −2 Λ(d x ). Via a coupling technique, we derive limiting laws …