3 problems

Let $I(\infty)=\{0\}\times\mathbb Z$ be the source axis of the directed IDLA forest ${\mathcal F}_{\infty}$. The forest consists of infinitely many trees rooted at points of…

Let ${\mathcal T}_{\infty}$ be the infinite IDLA tree rooted at the origin and let ${\mathcal F}_{\infty}$ be the directed IDLA forest. For fixed $R$, consider their restrictions t…

Let $SG$ be the graphical Sierpinski gasket, let $o$ be its source vertex, and let $B_o(n)$ denote the graph-metric ball of radius $n$ centered at $o$. Write…