21 citations · 33 across the 16 of their papers we have counts for
4 papers · 2 filters
Reversible coagulation-fragmentation processes and random combinatorial structures:asymptotics for the number of groups
Michael Erlihson, Boris Granovsky
We establish the central limit theorem for the number of groups at the equilibrium of a coagulation-fragmentation process given by a parameter function with polynomial rate of grow…
Asymptotic formula for a partition function of reversible coagulation -fragmentation processes
Gregory Freiman, Boris Granovsky
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 es…
The simplest nearest-neighbor spin system on regular graphs:Time dynamics of the mean coverage function
Boris L. Granovsky
We establish a characterization of the class of the simplest nearest neighbor spin systems possesing the mean coverage function (mcf) that obeys a second order differential equatio…
Clustering in coagulation -fragmentation processes, random combinatorial structures and additive number systems: Asymptotic formulae and limiting laws
Gregory Freiman, Boris Granovsky
We develop a unified approach to the problem of clustering in the three different fields of applications, as indicated in the title the paper. The approach is based on Khintchine's…