21 citations · 29 across the 13 of their papers we have counts for
5 papers · 1 filter
A Chinese restaurant process for multiset permutations
Dudley Stark
Multisets are like sets, except that they can contain multiple copies of their elements. If there are copies of , , in multiset , then there are $\bino…
Random Permutations and Queues
Alexander Gnedin, Dudley Stark
Given a growth rule which sequentially constructs random permutations of increasing degree, the stochastic process version of the rencontre problem asks what is the limiting propor…
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…
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…