High degrees of random recursive trees

Louigi Addario-Berry, Laura Eslava

For $n\ge 1$, let $T_n$ be a random recursive tree on the vertex set $[n]=\{1,\dots ,n\}$. Let ${\mathrm{deg}}_{T_n}(v)$ be the degree of vertex $v$ in $T_n$, that is, the number of…