Abstract
Let $\mathcal{G}$ 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 $\mathcal{G}$; the process satisfies anomalous diffusion and has spectral dimension 4/3.
Citation
Martin T. Barlow. Takashi Kumagai. "Random walk on the incipient infinite cluster on trees." Illinois J. Math. 50 (1-4) 33 - 65, 2006. https://doi.org/10.1215/ijm/1258059469
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