English

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

Probability 2007-05-23 v3 Combinatorics

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.

Keywords

Cite

@article{arxiv.math/0212170,
  title  = {Reversible coagulation-fragmentation processes and random combinatorial structures:asymptotics for the number of groups},
  author = {Michael Erlihson and Boris Granovsky},
  journal= {arXiv preprint arXiv:math/0212170},
  year   = {2007}
}

Comments

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