46 citations · 96 across the 4 of their papers we have counts for
Showing 2008 · math.PRShow all
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math.PR2008★ 1 cited
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…
math.PR2008★ 24 cited
Regenerative tree growth: Binary self-similar continuum random trees and Poisson--Dirichlet compositions
Jim Pitman, Matthias Winkel
We use a natural ordered extension of the Chinese Restaurant Process to grow a two-parameter family of binary self-similar continuum fragmentation trees. We provide an explicit emb…