21 citations · 33 across the 16 of their papers we have counts for
16 papers
Explicit asymptotic formulae for sub exponentially growing multiplicative structures
Boris Granovsky
It is derived the explicit asymptotic expression in for the coefficient of the generating function for multiplicative structures with sub exponential rate of growth of $c…
Asymptotic enumeration by Khintchine-Meinardus method: Necessary and sufficient conditions for sub exponential growth
Boris Granovsky
In this paper we prove the necessity of the main sufficient condition of Meinardus for sub exponential rate of growth of the number of structures, having multiplicative generating…
Developments in the Khintchine-Meinardus probabilistic method for asymptotic enumeration
Boris L. Granovsky, Dudley Stark
A theorem of Meinardus provides asymptotics of the number of weighted partitions under certain assumptions on associated ordinary and Dirichlet generating functions. The ordinary g…
A Meinardus theorem with multiple singularities
Boris Granovsky, Dudley Stark
Meinardus proved a general theorem about the asymptotics of the number of weighted partitions, when the Dirichlet generating function for weights has a single pole on the positive…
Coagulation processes with Gibbsian time evolution
Boris Granovsky, Alexander Kryvoshaev
We prove that time dynamics of a stochastic process of pure coagulation is given by a time dependent Gibbs distribution if and only if rates of single coagulations have the form $ψ…
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…