Electrical resistance of the low dimensional critical branching random walk

Antal A. Járai, Asaf Nachmias

Research output: Contribution to journalArticle

2 Citations (Scopus)
120 Downloads (Pure)

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) for some universal constant α > 0. This answers a question of Barlow et al. (Commun Math Phys 278:385-431, 2008).
Original languageEnglish
Pages (from-to)67-109
Number of pages43
JournalCommunications in Mathematical Physics
Volume331
Issue number1
Early online date7 Jun 2014
DOIs
Publication statusPublished - 31 Oct 2014

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