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 languageEnglish
Pages (from-to)1866-1886
Number of pages21
JournalStochastic Processes and their Applications
Volume122
Issue number4
DOIs
Publication statusPublished - Apr 2012

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