The chemical distance in random interlacements in the low-intensity regime

Sarai Hernandez-Torres, Eviatar B. Procaccia, Ron Rosenthal

In ${\mathbb{Z}}^d$ with $d\ge 5$, we consider the time constant ${\rho }_u$ associated to the chemical distance in random interlacements at low intensity $u\ll 1$. We prove an upper boun…