Bond percolation in higher dimensions

Eric I. Corwin, Robin Stinchcombe, Michael Thorpe

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

We collect results for bond percolation on various lattices from two to fourteen dimensions that, in the limit of large dimension d or number of neighbors z, smoothly approach a randomly diluted Erdos-Rényi graph. We include results on bond-diluted hypersphere packs in up to nine dimensions, which show the mean coordination, excess kurtosis, and skewness evolving smoothly with dimension towards the Erdos-Rényi limit.

Original languageEnglish (US)
Article number014102
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume88
Issue number1
DOIs
StatePublished - Jul 3 2013

Fingerprint

Higher Dimensions
Erdös
hyperspheres
Hypersphere
kurtosis
skewness
Kurtosis
Skewness
Excess
Graph in graph theory

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Statistical and Nonlinear Physics
  • Statistics and Probability

Cite this

Bond percolation in higher dimensions. / Corwin, Eric I.; Stinchcombe, Robin; Thorpe, Michael.

In: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, Vol. 88, No. 1, 014102, 03.07.2013.

Research output: Contribution to journalArticle

Corwin, Eric I. ; Stinchcombe, Robin ; Thorpe, Michael. / Bond percolation in higher dimensions. In: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics. 2013 ; Vol. 88, No. 1.
@article{7a38ca3016434401b3fe81829ec95db1,
title = "Bond percolation in higher dimensions",
abstract = "We collect results for bond percolation on various lattices from two to fourteen dimensions that, in the limit of large dimension d or number of neighbors z, smoothly approach a randomly diluted Erdos-R{\'e}nyi graph. We include results on bond-diluted hypersphere packs in up to nine dimensions, which show the mean coordination, excess kurtosis, and skewness evolving smoothly with dimension towards the Erdos-R{\'e}nyi limit.",
author = "Corwin, {Eric I.} and Robin Stinchcombe and Michael Thorpe",
year = "2013",
month = "7",
day = "3",
doi = "10.1103/PhysRevE.88.014102",
language = "English (US)",
volume = "88",
journal = "Physical Review E - Statistical, Nonlinear, and Soft Matter Physics",
issn = "1539-3755",
publisher = "American Physical Society",
number = "1",

}

TY - JOUR

T1 - Bond percolation in higher dimensions

AU - Corwin, Eric I.

AU - Stinchcombe, Robin

AU - Thorpe, Michael

PY - 2013/7/3

Y1 - 2013/7/3

N2 - We collect results for bond percolation on various lattices from two to fourteen dimensions that, in the limit of large dimension d or number of neighbors z, smoothly approach a randomly diluted Erdos-Rényi graph. We include results on bond-diluted hypersphere packs in up to nine dimensions, which show the mean coordination, excess kurtosis, and skewness evolving smoothly with dimension towards the Erdos-Rényi limit.

AB - We collect results for bond percolation on various lattices from two to fourteen dimensions that, in the limit of large dimension d or number of neighbors z, smoothly approach a randomly diluted Erdos-Rényi graph. We include results on bond-diluted hypersphere packs in up to nine dimensions, which show the mean coordination, excess kurtosis, and skewness evolving smoothly with dimension towards the Erdos-Rényi limit.

UR - http://www.scopus.com/inward/record.url?scp=84880236208&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84880236208&partnerID=8YFLogxK

U2 - 10.1103/PhysRevE.88.014102

DO - 10.1103/PhysRevE.88.014102

M3 - Article

VL - 88

JO - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

JF - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

SN - 1539-3755

IS - 1

M1 - 014102

ER -