Random walk on the incipient infinite cluster on trees

Details Random walk on the incipient infinite cluster on trees Random walk on the incipient infinite cluster on trees

2005-03-07

arxiv.org/abs/math/0503118v1

Mathematics

Probability

30 pages

Scientific paper

Let ${\cal G}$ 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.

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