3 problems

Let $G_n$ be an expander sequence converging locally to the $d$-regular tree. Consider the local limits associated with item c., a sequence of $d$-regular expanders with $n$ vertic…

Let $\tau^{*}$ be a sub-critical and non-generic marked Galton–Watson tree with offspring distribution $\mathbf{p}$ satisfying the condition in … . Let $M(\tau^*)$ denote the total…

Let $\mathcal{T}_{n,g}$ be the set of rooted triangulations of genus $g$ with $n$ vertices, and let $T_{n,g}$ be uniformly distributed in $\mathcal{T}_{n,g}$. For…