Random walk on the incipient infinite cluster on trees

Martin T. Barlow, Takashi Kumagai

Source record

Source: Crossref

Published: Jan 1, 2006

DOI: 10.1215/ijm/1258059469

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Source 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.

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Random walk on the incipient infinite cluster on trees — Mathematical Frontier Network