2 problems

Invasion percolation scaling conjecture. For each $r\geq2$, $\vec t\in\mathbb{R}^{r-1}$ and $\vec k\in\mathbb{R}^{d(r-1)}$, there exist constants $A,V,v$ and $\delta\in(0,1)$ such…

Let $T(\clock)$ be the branching process tree, and let … be the $k$-neighbourhood of the invasion percolation cluster. Under the conditions of the volume-growth theorem, let…