On time dynamics of coagulation-fragmentation processes

Details On time dynamics of coagulation-fragmentation processes On time dynamics of coagulation-fragmentation processes

2007-11-04

arxiv.org/abs/0711.0503v3

Mathematics

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30pages.This is the final version that contains a few important changes in exposition implied by referees remarks and question

Scientific paper

We establish a characterization of coagulation-fragmentation processes, such that the induced birth and death processes depicting the total number of groups at time $t\ge 0$ 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.

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