2 problems

Let $\mathsf{SG}$ be the Sierpinski gasket graph, let $\mathcal{B}_n$ be the graph-metric ball of radius $n$, and let $\mathcal{I}_{|\mathcal{B}_n|}$ be the internal DLA cluster fo…

Let $\mathcal{I}_n$ denote the internal DLA cluster after $n$ particles on $\mathbb{Z}^d$, and measure its fluctuations by the deviation of the cluster from its Euclidean-ball limi…