21 citations · 33 across the 16 of their papers we have counts for
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math.PR2005★ 1 cited
Asymptotics of counts of small components in random structures and models of coagulation-fragmentation
Boris L. Granovsky
We establish necessary and sufficient conditions for convergence (in the sense of finite dimensional distributions) of multiplicative measures on the set of partitions. We show tha…
math.PR2005★ 3 cited
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…