A limit law for the maximum of subcritical DG-model on a hierarchical lattice

Marek Biskup, Haiyu Huang

We study the extremal properties of the "integer-valued Gaussian" a.k.a.\ DG-model on the hierarchical lattice ${\Lambda }_n:=\{1,\dots ,b{\}}^n$ (with $b\ge 2$) of depth $n$. This is a random…