66 citations · 86 across the 13 of their papers we have counts for
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Exchangeable Gibbs partitions and Stirling triangles
Alexander Gnedin, Jim Pitman
For two collections of nonnegative and suitably normalised weights $\W=(\W_j)$ and $\V=(\V_{n,k})$, a probability distribution on the set of partitions of the set is…
Regenerative partition structures
Alexander Gnedin, Jim Pitman
We consider Kingman's partition structures which are regenerative with respect to a general operation of random deletion of some part. Prototypes of this class are the Ewens partit…
Derangement characters of the full general linear group
Alexander Gnedin, Sergey Kerov
We focus on derangement characters of which depend solely on the dimension of the space of fixed vectors. This family includes Thoma characters which become asymptoticall…
Asymptotic laws for regenerative compositions: gamma subordinators and the like
A. Gnedin, J. Pitman, M. Yor
For a random closed set obtained by exponential transformation of the closed range of a subordinator, a regenerative composit…
Asymptotic laws for compositions derived from transformed subordinators
Alexander Gnedin, Jim Pitman, Marc Yor
A random composition of appears when the points of a random closed set are used to separate into blocks points sampled from the unifor…
Asymptotic laws for nonconservative self-similar fragmentations
Jean Bertoin, Alexander Gnedin
We consider a self-similar fragmentation process in which the generic particle of size is replaced at probability rate , by its offspring made of smaller particles, where…