Upper tail large deviation for the first passage time in the frog model on $Z^d$ with $d\ge 2$

Van Hao Can, Naoki Kubota, Shuta Nakajima

We study upper tail large deviations for the first passage time in the frog model on ${\mathbb{Z}}^d$, $d\ge 2$. Let $\mathrm{T}(0,x)$ denote the first time at which the infection, st…