Reversible coagulation-fragmentation processes and random combinatorial structures:asymptotics for the number of groups

Abstract

We establish the central limit theorem for the number of groups at the equilibrium of a coagulation-fragmentation process given by a parameter function with polynomial rate of growth. The result obtained is compared with the one for random combinatorial structures obeying the logarithmic condition.

This version will be published in the joutnal " Random structures and Algorithms"