Electrical resistance of the low dimensional critical branching random walk
Probability
2015-06-15 v1 Mathematical Physics
math.MP
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, J\'arai, Kumagai and Slade [2].
Keywords
Cite
@article{arxiv.1305.1092,
title = {Electrical resistance of the low dimensional critical branching random walk},
author = {Antal A. Járai and Asaf Nachmias},
journal= {arXiv preprint arXiv:1305.1092},
year = {2015}
}
Comments
44 pages, 3 figures