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arXiv · 0711.0503

On time dynamics of coagulation-fragmentation processes

Boris L. Granovsky·Michael M. Erlihson
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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 $t\ge 0$ 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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Boris L. Granovsky, Michael M. Erlihson. 2008-12-08. On time dynamics of coagulation-fragmentation processes. https://arxiv.org/abs/0711.0503

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