English

On the covariances of outdegrees in random plane recursive trees

Combinatorics 2014-11-24 v1

Abstract

In 2005 Janson, extending earlier work of Mahmoud, Smythe, and Szyma\'nski, 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.

Keywords

Cite

@article{arxiv.1411.5756,
  title  = {On the covariances of outdegrees in random plane recursive trees},
  author = {Hüseyin Acan and Paweł Hitczenko},
  journal= {arXiv preprint arXiv:1411.5756},
  year   = {2014}
}

Comments

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