On time dynamics of coagulation-fragmentation processes
Probability
2008-12-08 v3 Combinatorics
Abstract
We establish a characterization of coagulation-fragmentation processes, such that the induced birth and death processes depicting the total number of groups at time are time homogeneous. Based on this, we provide a characterization of mean-field Gibbs coagulation-fragmentation models, which extends the one derived by Hendriks et al. As a by- product of our results, the class of solvable models is widened and a question posed by N. Berestycki and Pitman is answered, under restriction to mean-field models.
Cite
@article{arxiv.0711.0503,
title = {On time dynamics of coagulation-fragmentation processes},
author = {Boris L. Granovsky and Michael M. Erlihson},
journal= {arXiv preprint arXiv:0711.0503},
year = {2008}
}
Comments
30pages.This is the final version that contains a few important changes in exposition implied by referees remarks and questions. The paper will be published in J. of Statistical Physics