Gutjahr, W.; Pflug, G. Ch. - In: Stochastic Processes and their Applications 41 (1992) 1, pp. 69-89
The contour process of a random binary tree t with n internal nodes is defined as the polygonal function constructed from the heights of the leaves of t (normalized by ). We show that, as n --> [infinity], the limiting contour process is identical in distribution to a Brownian excursion.