1305.1092 (Antal A. Járai et al.)

Electrical resistance of the low dimensional critical branching random
walk    [PDF]

Antal A. Járai, Asaf Nachmias

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].

View original: http://arxiv.org/abs/1305.1092