On the minimal drift for recurrence in the frog model on $d$-ary trees

Chengkun Guo, Si Tang, Ningxi Wei

We study the recurrence of one-per-site frog model $\text{FM}(d,p)$ on a $d$-ary tree with drift parameter $p\in [0,1]$, which determines the bias of frogs' random walks. We are i…