Electrical Resistance of the Low Dimensional Critical Branching Random Walk

Antal A. Járai; Asaf Nachmias

doi:https://doi.org/10.1007/s00220-014-2085-y

Electrical Resistance of the Low Dimensional Critical Branching Random Walk

Research output: Contribution to journal › Article › peer-review

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 language	English
Pages (from-to)	67-109
Number of pages	43
Journal	Communications in Mathematical Physics
Volume	331
Issue number	1
DOIs	https://doi.org/10.1007/s00220-014-2085-y
State	Published - Aug 2014
Externally published	Yes

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics

Access to Document

https://doi.org/10.1007/s00220-014-2085-y

Cite this

@article{d57af460fcb14e528d570bbee3a7c2c7,

title = "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(n 1-α) for some universal constant α > 0. This answers a question of Barlow et al. (Commun Math Phys 278:385-431, 2008).",

author = "J{\'a}rai, {Antal A.} and Asaf Nachmias",

year = "2014",

month = aug,

doi = "https://doi.org/10.1007/s00220-014-2085-y",

language = "الإنجليزيّة",

volume = "331",

pages = "67--109",

journal = "Communications in Mathematical Physics",

issn = "0010-3616",

publisher = "Springer New York",

number = "1",

}

TY - JOUR

T1 - Electrical Resistance of the Low Dimensional Critical Branching Random Walk

AU - Járai, Antal A.

AU - Nachmias, Asaf

PY - 2014/8

Y1 - 2014/8

N2 - 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).

AB - 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).

UR - http://www.scopus.com/inward/record.url?scp=84904471903&partnerID=8YFLogxK

U2 - https://doi.org/10.1007/s00220-014-2085-y

DO - https://doi.org/10.1007/s00220-014-2085-y

M3 - مقالة

SN - 0010-3616

VL - 331

SP - 67

EP - 109

JO - Communications in Mathematical Physics

JF - Communications in Mathematical Physics

IS - 1

ER -

Electrical Resistance of the Low Dimensional Critical Branching Random Walk

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this