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.

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: plane-oriented recursive trees,random trees,profile of trees,preferential attachment,branching random walk,martingales,analysis of algorithms,[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]

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