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A functional limit law for the profile of plane-oriented recursive trees.

Henning Sulzbach 1 
1 Institute for Mathematics [Frankfurt ]
Abstract : We give a functional limit law for the normalized profile of random plane-oriented recursive trees. The proof uses martingale convergence theorems in discrete and continuous-time. This complements results of Hwang (2007).
Keywords : plane-oriented recursive trees random trees profile of trees preferential attachment branching random walk martingales analysis of algorithms
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Henning Sulzbach. A functional limit law for the profile of plane-oriented recursive trees.. Fifth Colloquium on Mathematics and Computer Science, 2008, Kiel, Germany. pp.339-350, ⟨10.46298/dmtcs.3575⟩. ⟨hal-01194662⟩

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