A Graph-Valued Markov Process as Rings-Allowed Polymerization Model: Subcritical Behavior
Boris G. Pittel, Wojbor A. Woyczyński · SIAM Journal on Applied Mathematics · 1990
In previous papers, random tree-type partitions of a finite set as a stochastic model for acyclic polymerization were studied. In this paper, the model is extended one important step further by allowing rings formation. The main result is that, in the subcritical domain, the asymptotic behavior of the process remains essentially the same as in the acyclic case despite the fact that cycles are not excluded.