66 citations · 203 across the 18 of their papers we have counts for
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math.PR2007★ 5 cited
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…
math.PR2007★ 46 cited
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…