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On the Connection Between Oriented Percolation and Contact Process

Author

Listed:
  • M. V. Menshikov

    (University of Durham)

  • S. Yu. Popov

    (University of São Paulo
    Institute for Problems of Information Transmission of Russian Academy of Sciences)

  • V. V. Sisko

    (University of São Paulo)

Abstract

We study the contact process in $${\mathbb{Z}}$$ d and a family of two-parametric oriented percolation models in $${\mathbb{Z}}$$ d × $${\mathbb{Z}}$$ +. It is proved that the derivative at the endpoint of the critical curve for percolation exists and its absolute value coincides with the critical rate for the corresponding contact process.

Suggested Citation

  • M. V. Menshikov & S. Yu. Popov & V. V. Sisko, 2002. "On the Connection Between Oriented Percolation and Contact Process," Journal of Theoretical Probability, Springer, vol. 15(1), pages 207-221, January.
    • Handle: RePEc:spr:jotpro:v:15:y:2002:i:1:d:10.1023_a:1013847619585
    DOI: 10.1023/A:1013847619585
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