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math.PR2005★ 33 cited
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…
math.PR2004★ 16 cited
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…