Electrical resistance of the low dimensional critical branching random walk

Antal A. Járai; Asaf Nachmias

doi:10.1007/s00220-014-2085-y

Electrical resistance of the low dimensional critical branching random walk

Antal A. Járai, Asaf Nachmias

University of British Columbia

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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 language	English
Pages (from-to)	67-109
Number of pages	43
Journal	Communications in Mathematical Physics
Volume	331
Issue number	1
Early online date	7 Jun 2014
DOIs	https://doi.org/10.1007/s00220-014-2085-y
Publication status	Published - 31 Oct 2014

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10.1007/s00220-014-2085-y

Accepted Version
This is a post-peer-review, pre-copyedit version of an article published in Communications in Mathematical Physics. The final authenticated version is available online at: https://doi.org/10.1007/s00220-014-2085-y
Accepted author manuscript, 468 KB

Cite this

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Electrical resistance of the low dimensional critical branching random walk

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Electrical resistance of the low dimensional critical branching random walk

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