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

dmtcs:3575 - Discrete Mathematics & Theoretical Computer Science, January 1, 2008, DMTCS Proceedings vol. AI, Fifth Colloquium on Mathematics and Computer Science - https://doi.org/10.46298/dmtcs.3575
A functional limit law for the profile of plane-oriented recursive trees.Conference paper

Authors: Henning Sulzbach 1

  • 1 Institute for Mathematics [Frankfurt ]


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).

https://doi.org/10.46298/dmtcs.3575
Source: HAL:hal-01194662v1
Volume: DMTCS Proceedings vol. AI, Fifth Colloquium on Mathematics and Computer Science
Section: Proceedings
Published on: January 1, 2008
Imported on: May 10, 2017
Keywords: [INFO.INFO-DM]Computer Science [cs]/Discrete Mathematics [cs.DM], [MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS], [MATH.MATH-CO]Mathematics [math]/Combinatorics [math.CO], [en] plane-oriented recursive trees, random trees, profile of trees, preferential attachment, branching random walk, martingales, analysis of algorithms

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