Fluctuation bounds for first-passage percolation on the square, tube, and torus

Michael Damron, Christian Houdré, Alperen Özdemir

In first-passage percolation, one assigns i.i.d. nonnegative weights $(t_e)$ to the edges of ${\mathbb{Z}}^d$ and studies the induced distance (passage time) $T(x,y)$ between vertice…