Percolation of even sites for random sequential adsorption

Abstract

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 $1$.

35 pages. 13 figures

References in corpus (2)

• Exact and approximate results for deposition and annihilation processes on graphs
• Interplay between thermal percolation and jamming upon dimer adsorption on binary alloys