Logarithmic correction to resistance

Antal A. Jarai; Dante Mata Lopez

doi:10.1214/21-AIHP1213

Logarithmic correction to resistance

Antal A. Jarai, Dante Mata Lopez

Centro de Investigación en Matemáticas

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

1 Citation (SciVal)

Abstract

We study the trace of the incipient infinite oriented branching random walk in Zd×Z+ when the dimension is d=6. Under suitable moment assumptions, we show that the electrical resistance between the root and level n is O(nlog^-ξn) for a ξ>0 that does not depend on details of the model.

Original language	English
Pages (from-to)	1775-1807
Number of pages	33
Journal	Annales de l'Institut Henri Poincaré: Probabilités et Statistiques
Volume	58
Issue number	3
Early online date	14 Jul 2022
DOIs	https://doi.org/10.1214/21-AIHP1213
Publication status	Published - 31 Aug 2022

Bibliographical note

Funding Information:
The second author was supported by CONACyT Mexico Grant 836354.

Keywords

Anomalous diffusion
Branching random walk
Electrical resistance

ASJC Scopus subject areas

Statistics and Probability
Statistics, Probability and Uncertainty

Access to Document

10.1214/21-AIHP1213

https://arxiv.org/abs/2006.03988Licence: CC BY

Cite this

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title = "Logarithmic correction to resistance",

abstract = "We study the trace of the incipient infinite oriented branching random walk in Zd×Z+ when the dimension is d=6. Under suitable moment assumptions, we show that the electrical resistance between the root and level n is O(nlog-ξn) for a ξ>0 that does not depend on details of the model.",

keywords = "Anomalous diffusion, Branching random walk, Electrical resistance",

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AU - Mata Lopez, Dante

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AB - We study the trace of the incipient infinite oriented branching random walk in Zd×Z+ when the dimension is d=6. Under suitable moment assumptions, we show that the electrical resistance between the root and level n is O(nlog-ξn) for a ξ>0 that does not depend on details of the model.

KW - Anomalous diffusion

KW - Branching random walk

KW - Electrical resistance

UR - https://www.scopus.com/pages/publications/85135814497

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DO - 10.1214/21-AIHP1213

M3 - Article

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JF - Annales de l'Institut Henri Poincaré: Probabilités et Statistiques

IS - 3

ER -

Logarithmic correction to resistance

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

Access to Document

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