Asymptotic normality for general subtree counts in conditioned Galton--Watson trees

Fameno Rakotoniaina, Dimbinaina Ralaivaosaona

Let $\mathcal{T}$ denote a Galton--Watson tree with offspring distribution $\xi$ satisfying $\mathbb{E}(\xi )=1$, and let ${\mathcal{T}}_n$ be the Galton--Watson tree conditioned to hav…