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Percolation of even sites for random sequential adsorption

Author

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  • Penrose, Mathew D.
  • Rosoman, Tom

Abstract

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.

Suggested Citation

  • Penrose, Mathew D. & Rosoman, Tom, 2012. "Percolation of even sites for random sequential adsorption," Stochastic Processes and their Applications, Elsevier, vol. 122(4), pages 1866-1886.
  • Handle: RePEc:eee:spapps:v:122:y:2012:i:4:p:1866-1886
    DOI: 10.1016/j.spa.2012.01.007
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    References listed on IDEAS

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    1. Penrose, Mathew D., 2002. "Limit theorems for monotonic particle systems and sequential deposition," Stochastic Processes and their Applications, Elsevier, vol. 98(2), pages 175-197, April.
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    Cited by:

    1. Daniels, Christopher J.E. & Penrose, Mathew D., 2017. "Percolation of even sites for enhanced random sequential adsorption," Stochastic Processes and their Applications, Elsevier, vol. 127(3), pages 803-830.

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