Asymptotic formula for a partition function of reversible coagulation-fragmentation processes |
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| Authors: | Gregory A Freiman Boris L Granovsky |
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| Institution: | (1) School of Mathematical Sciences, Raymond and Beverly Sackler Faculty of Exact Sciences, Tel Aviv University, Ramat Aviv, 69978 Tel Aviv, Israel;(2) Department of Mathematics, Technion-Israel Institute of Technology, 32000 Haifa, Israel |
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| Abstract: | We construct a probability model seemingly unrelated to the considered stochastic process of coagulation and fragmentation.
By proving for this model the local limit theorem, we establish the asymptotic formula for the partition function of the equilibrium
measure for a wide class of parameter functions of the process. This formula proves the conjecture stated in 5] for the above
class of processes. The method used goes back to A. Khintchine. |
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