Electrical resistance of the low dimensional critical branching random walk
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(n1-alpha) for some universal constant alpha>0. This answers a question of Barlow, J\'arai, Kumagai and Slade [2].
0
Turn this paper into a lesson
ArcXiv compiles a structured reading guide from this paper's metadata: plain-English importance, contributions, prerequisite concepts, which sections to read first, flashcards, and a quiz. Grounded in the abstract, never invented.