Random walk on the incipient infinite cluster on trees

Barlow, Martin T.; Kumagai, Takashi

Illinois J. Math., Tome 50 (2006) no. 1-4, p. 33-65 / Harvested from Project Euclid

Résumé

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.

Publié le : 2006-05-15
Classification: 60K37, 60J80, 60K35

@article{1258059469,
     author = {Barlow, Martin T. and Kumagai, Takashi},
     title = {Random walk on the incipient infinite cluster on trees},
     journal = {Illinois J. Math.},
     volume = {50},
     number = {1-4},
     year = {2006},
     pages = { 33-65},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1258059469}
}

Barlow, Martin T.; Kumagai, Takashi. Random walk on the incipient infinite cluster on trees. Illinois J. Math., Tome 50 (2006) no. 1-4, pp.  33-65. http://gdmltest.u-ga.fr/item/1258059469/