Percolation of even sites for random sequential adsorption

Mathew D. Penrose, Tom Rosoman

Published 2011-02-02Version 1

Consider random sequential adsorption on a red/blue chequerboard lattice with arrivals at rate $1$ on the red squares and rate $\lambda$ on the blue squares. We prove that the critical value of $\lambda$, above which we get an infinite blue component, is finite and strictly greater than $1$.