115 citations · 485 across the 25 of their papers we have counts for
4 papers · 2 filters
Spinal partitions and invariance under re-rooting of continuum random trees
Bénédicte Haas, Jim Pitman, Matthias Winkel
We develop some theory of spinal decompositions of discrete and continuous fragmentation trees. Specifically, we consider a coarse and a fine spinal integer partition derived from…
One-dimensional Brownian particle systems with rank dependent drifts
Soumik Pal, Jim Pitman
We study interacting systems of linear Brownian motions whose drift vector at every time point is determined by the relative ranks of the coordinate processes at that time. Our mai…
Gibbs fragmentation trees
Peter McCullagh, Jim Pitman, Matthias Winkel
We study fragmentation trees of Gibbs type. In the binary case, we identify the most general Gibbs-type fragmentation tree with Aldous' beta-splitting model, which has an extended…
Notes on the occupancy problem with infinitely many boxes: general asymptotics and power laws
Alexander Gnedin, Ben Hansen, Jim Pitman
This paper collects facts about the number of occupied boxes in the classical balls-in-boxes occupancy scheme with infinitely many positive frequencies: equivalently, about the num…