On the number and size of holes in the growing ball of first-passage percolation

Michael Damron, Julian Gold, Wai-Kit Lam +1

First-passage percolation is a random growth model defined on ${\mathbb{Z}}^d$ using i.i.d. nonnegative weights $({\tau }_e)$ on the edges. Letting $T(x,y)$ be the distance between vertice…