## Random walk on the incipient infinite cluster on trees

by
Martin T. Barlow
,
Takashi Kumagai

Venue: | Illinois J. Math |

Citations: | 25 - 6 self |

### BibTeX

@ARTICLE{Barlow_randomwalk,

author = {Martin T. Barlow and Takashi Kumagai},

title = {Random walk on the incipient infinite cluster on trees},

journal = {Illinois J. Math},

year = {},

pages = {2247823}

}

### OpenURL

### Abstract

Abstract. Let G be the incipient infinite cluster (IIC) for percolation on a homogeneous tree of degree n0 + 1. We obtain estimates for the transition density of the the continuous time simple random walk Y on G; the process satisfies anomalous diffusion and has spectral dimension 4