Asymptotics for first-passage percolation on logarithmic subgraphs of ${\mathbb{Z}}^2$

Michael Damron, Wai-Kit Lam

For $a>0$ and $b\ge 0$, let ${\mathbb{G}}_{a,b}$ be the subgraph of ${\mathbb{Z}}^2$ induced by the vertices between the first coordinate axis and the graph of the function $f = f_{a…