On the covariances of outdegrees in random plane recursive trees

Abstract

In 2005 Janson, extending earlier work of Mahmoud, Smythe, and Szymański, established the joint asymptotic normality of the outdegrees of a random plane recursive tree. In particular, he gave an explicit description of the limiting covariance matrix. Our aim here is to provide substantially simplified expression for the limiting covariance matrix.

4 pages, to appear as a letter to Editor in J. Appl. Probab