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20042008
most citedSpinal partitions and invariance under re-rooting of continuum random trees

58 citations · 233 across the 8 of their papers we have counts for

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math.PR2007★ 58 cited

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…

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…