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

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

2002-12-12

arxiv.org/abs/math/0212170v3

Mathematics

Probability

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

Scientific paper

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.

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