We discuss quantum ergodicity in the Benjamini-Schramm limit. This concerns equidistribution of eigenfunctions of Laplacian-like operators on sequences of spaces which ``converge'' to their common universal cover. We shall be particularly interested in the case when the universal cover is a symmetric space or an affine building (the non-archimedean analogue of a symmetric space). A result of this kind was first proven by Anantharaman-Le Masson for regular graphs and for which the underlying Laplacian-like operator is the adjacency operator. This result was reproven by Brooks-Le Masson-Lindenstrauss using a new technique which has been subsequently adapted to also work for rank one locally symmetric spaces (Le Masson-Sahlsten, Abert-Bergeron-Le Masson) and for higher rank locally symmetric spaces associated to $SL(d, R)$ (Brumley-Matz). We have obtained analogous results for Bruhat-Tits buildings associated to $SL(3, F)$ where $F$ is a non-archimedean local field. We shall discuss the strategy of proof common to all of these examples as well as discuss some of the new techniques introduced to handle the $SL(3, F)$ case.