Electrical resistance of the low dimensional critical branching random walk
arXiv:1305.1092 · doi:10.1007/s00220-014-2085-y
Abstract
We show that the electrical resistance between the origin and generation n of the incipient infinite oriented branching random walk in dimensions d<6 is O(n^{1-alpha}) for some universal constant alpha>0. This answers a question of Barlow, Járai, Kumagai and Slade [2].
44 pages, 3 figures