​Abstract: Finitary random interlacements (FRI) is a Poisson point process of finite simple random walk trajectories on the lattice $\mathbb{Z}^d$, with $d \geq 3$. The lengths of these random walks are determined by independent geometric distributions with mean $T$. It has been shown that there is a phase transition in the connectivity of FRI with respect to $T$. In particular, there is a unique infinite cluster when $T$ is large enough. In this talk, I will talk about the chemical distance on the infinite cluster of FRI in the supercritical phase. This is a joint work with Cai, Han, and Zhang.