Percolation of even sites for random sequential adsorption

Mathew D Penrose; Thomas Rosoman

doi:10.1016/j.spa.2012.01.007

Percolation of even sites for random sequential adsorption

Mathew D Penrose
, Thomas Rosoman

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

214 Downloads (Pure)

Abstract

Consider random sequential adsorption on a red/blue chequerboard lattice with arrivals at rate 1 on the red squares and rate λ on the blue squares. We prove that the critical value of λ, above which we get an infinite blue component, is finite and strictly greater than 1.

Original language	English
Pages (from-to)	1866-1886
Number of pages	21
Journal	Stochastic Processes and their Applications
Volume	122
Issue number	4
DOIs	https://doi.org/10.1016/j.spa.2012.01.007
Publication status	Published - Apr 2012

Access to Document

10.1016/j.spa.2012.01.007

Penrose_SPatA_2012_122_4_1866.pdf
NOTICE: this is the author’s version of a work that was accepted for publication in Stochastic Processes and their Applications. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Stochastic Processes and their Applications, vol 122, issue 4, 2012, DOI 10.1016/j.spa.2012.01.007
Accepted author manuscript, 2.98 MB

Cite this

@article{dd6bd744a80d47d4b04262d6488f39d9,

title = "Percolation of even sites for random sequential adsorption",

abstract = "Consider random sequential adsorption on a red/blue chequerboard lattice with arrivals at rate 1 on the red squares and rate λ on the blue squares. We prove that the critical value of λ, above which we get an infinite blue component, is finite and strictly greater than 1.",

author = "Penrose, \{Mathew D\} and Thomas Rosoman",

year = "2012",

month = apr,

doi = "10.1016/j.spa.2012.01.007",

language = "English",

volume = "122",

pages = "1866--1886",

journal = "Stochastic Processes and their Applications",

issn = "0304-4149",

publisher = "Elsevier B.V.",

number = "4",

}

TY - JOUR

T1 - Percolation of even sites for random sequential adsorption

AU - Penrose, Mathew D

AU - Rosoman, Thomas

PY - 2012/4

Y1 - 2012/4

N2 - Consider random sequential adsorption on a red/blue chequerboard lattice with arrivals at rate 1 on the red squares and rate λ on the blue squares. We prove that the critical value of λ, above which we get an infinite blue component, is finite and strictly greater than 1.

AB - Consider random sequential adsorption on a red/blue chequerboard lattice with arrivals at rate 1 on the red squares and rate λ on the blue squares. We prove that the critical value of λ, above which we get an infinite blue component, is finite and strictly greater than 1.

UR - https://www.scopus.com/pages/publications/84858709903

UR - http://dx.doi.org/10.1016/j.spa.2012.01.007

U2 - 10.1016/j.spa.2012.01.007

DO - 10.1016/j.spa.2012.01.007

M3 - Article

SN - 0304-4149

VL - 122

SP - 1866

EP - 1886

JO - Stochastic Processes and their Applications

JF - Stochastic Processes and their Applications

IS - 4

ER -

Percolation of even sites for random sequential adsorption

Abstract

Access to Document

Other files and links

Fingerprint

Cite this