66 citations · 150 across the 13 of their papers we have counts for
10 papers · 1 filter
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…
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…
Where did the Brownian particle go?
Robin Pemantle, Yuval Peres, Jim Pitman +1
Consider the radial projection onto the unit sphere of the path a d-dimensional Brownian motion W, started at the center of the sphere and run for unit time. Given the occupation m…
Growth of the Brownian forest
Jim Pitman, Matthias Winkel
Trees in Brownian excursions have been studied since the late 1980s. Forests in excursions of Brownian motion above its past minimum are a natural extension of this notion. In this…
The exploration process of inhomogeneous continuum random trees, and an extension of Jeulin's local time identity
David J Aldous, Gregory Miermont, Jim Pitman
We study the inhomogeneous continuum random trees (ICRT) that arise as weak limits of birthday trees. We give a description of the exploration process, a function defined on [0,1]…