First-Passage Percolation on Spread-out line graphs: Microscopic Regime

Partha S. Dey, Daecheol Kim

We study first-passage percolation on the $\ell$-spread-out line graph, where each vertex $i\in \{0,1,\dots ,n\}$ is connected to all others at distance at most $\ell$. Here, we focu…