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Percolation of even sites for random sequential adsorption

OAI: oai:purehost.bath.ac.uk:openaire_cris_publications/dd6bd744-a80d-47d4-b042-62d6488f39d9 DOI: https://doi.org/10.1016/j.spa.2012.01.007
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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.