46 citations · 96 across the 4 of their papers we have counts for
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A new family of Markov branching trees: the alpha-gamma model
Bo Chen, Daniel Ford, Matthias Winkel
We introduce a simple tree growth process that gives rise to a new two-parameter family of discrete fragmentation trees that extends Ford's alpha model to multifurcating trees and…
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…
Growth of Levy trees
Thomas Duquesne, Matthias Winkel
We construct random locally compact real trees called Levy trees that are the genealogical trees associated with continuous-state branching processes. More precisely, we define a g…
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…