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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Communication dans un congrès
Roesler, Uwe. Fifth Colloquium on Mathematics and Computer Science, 2008, Kiel, Germany. Discrete Mathematics and Theoretical Computer Science, DMTCS Proceedings vol. AI, Fifth Colloquium on Mathematics and Computer Science, pp.339-350, 2008, DMTCS Proceedings
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Henning Sulzbach. A functional limit law for the profile of plane-oriented recursive trees.. Roesler, Uwe. Fifth Colloquium on Mathematics and Computer Science, 2008, Kiel, Germany. Discrete Mathematics and Theoretical Computer Science, DMTCS Proceedings vol. AI, Fifth Colloquium on Mathematics and Computer Science, pp.339-350, 2008, DMTCS Proceedings. 〈hal-01194662〉

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