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

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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

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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
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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.",

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Percolation of even sites for random sequential adsorption

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