Abstract: In this paper we obtain an almost surely convergence
for outdegrees in random recursive trees. Janson
[3] proved the almost surely convergence by normalizingandsatisfyingBut in this paper the almost surely
convergence is established in a simpler way. The results of Meir and Moon are
extended.
Keywords and phrases: random recursive tree, outdegree, GFU process, a.s convergence.
