2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/74415Let ${\cal G}$ be the incipient infinite cluster (IIC) for percolation on a homogeneous tree of degree $n_0+1$. We obtain estimates for the transition density of the continuous time simple random walk $Y$ on ${\cal G}$; the process satisfies anomalous diffusion and has spectral dimension 4/3.30 pagesProbabilityMathematical Physics60K37; 60J80, 60J35Random walk on the incipient infinite cluster on treestext