Geodesic
A functional limit law for the profile of plane-oriented recursive trees.
Discrete mathematics & theoretical computer science, DMTCS Proceedings vol. AI, Fifth Colloquium on Mathematics and Computer Science, DMTCS Proceedings vol. AI, Fifth Colloquium on Mathematics and Computer Science (2008).

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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). 
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     author = {Sulzbach, Henning},
     title = {A functional limit law for the profile of plane-oriented recursive trees.},
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Sulzbach, Henning. A functional limit law for the profile of plane-oriented recursive trees.. Discrete mathematics & theoretical computer science, DMTCS Proceedings vol. AI, Fifth Colloquium on Mathematics and Computer Science, DMTCS Proceedings vol. AI, Fifth Colloquium on Mathematics and Computer Science (2008). doi : 10.46298/dmtcs.3575. http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.3575/

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