Electrical Resistance of the Low Dimensional Critical Branching Random Walk

Antal A. Járai, Asaf Nachmias*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

4 Scopus citations

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-α) 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
DOIs
StatePublished - Aug 2014
Externally publishedYes

Funding

FundersFunder number
National Science Foundation
Natural Sciences and Engineering Research Council of Canada

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