Percolation of even sites for random sequential adsorption
  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 $1$. 
Mathew D. Penrose and Tom Rosoman
math.PR