3 citations · 5 across the 4 of their papers we have counts for
4 papers
On time dynamics of coagulation-fragmentation processes
Boris L. Granovsky, Michael M. Erlihson
We establish a characterization of coagulation-fragmentation processes, such that the induced birth and death processes depicting the total number of groups at time are ti…
Meinardus' theorem on weighted partitions: extensions and a probabilistic proof
Boris L. Granovsky, Dudley Stark, Michael Erlihson
We give a probalistic proof of the famous Meinardus' asymptotic formula for the number of weighted partitions with weakened one of the three Meinardus' conditions, and extend the r…
Limit shapes of multiplicative measures associated with coagulation-fragmentation processes and random combinatorial structures
Michael Erlihson, Boris Granovsky
We find limit shapes for a family of multiplicative measures on the set of partitions, induced by exponential generating functions with expansive parameters, $a_k\sim Ck^{p-1}, k\t…
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…