Penrose, M. D. and Rosoman, T., 2012. Percolation of even sites for random sequential adsorption. Stochastic Processes and their Applications, 122 (4), pp. 1866-1886.
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.
|Item Type ||Articles|
|Creators||Penrose, M. D.and Rosoman, T.|
|Departments||Faculty of Science > Mathematical Sciences|
|Publisher Statement||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|
Actions (login required)