2011/02/02 by Mathew D. Penrose, Penrose, Mathew D., Tom Rosoman +1
Mathematics · Physics and Astronomy · #Random Matrices and Applications #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #math.PR #msc:60K35 #msc:82B43
paper · pdf · doi:10.48550/arxiv.1102.0532
35 pages. 13 figures
arxiv created 2011/02/02 · arxiv updated 2011/02/03
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.