English

On general subtrees of a conditioned Galton-Watson tree

Probability 2020-11-10 v1 Combinatorics

Abstract

We show that the number of copies of a given rooted tree in a conditioned Galton-Watson tree satisfies a law of large numbers under a minimal moment condition on the offspring distribution.

Keywords

Cite

@article{arxiv.2011.04224,
  title  = {On general subtrees of a conditioned Galton-Watson tree},
  author = {Svante Janson},
  journal= {arXiv preprint arXiv:2011.04224},
  year   = {2020}
}

Comments

12 pages

R2 v1 2026-06-23T20:00:11.969Z