3 problems

Let $\mu$ have finite $(2+\kappa)$th moment, let $\mu'$ have infinite second moment, and let $\tau_n$ and $\tau'_n$ be the corresponding conditioned random trees. Write…

Let $\mu$ and $\mu'$ be offspring distributions satisfying … with $1<\alpha\leq\alpha'<2$ and $c,c'>0$, and let $\tau_n$ and $\tau'_n$ be the corresponding conditioned random trees…

Let two independent random recursive trees have size $n$, and let their largest common subtree be the largest subtree occurring in both trees. Near-linear common subtree conjecture…