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A strong correlation inequality for contact processes and oriented percolation

Author

Listed:
  • Belitsky, Vladimir
  • Ferrari, Pablo A.
  • Konno, Norio
  • Liggett, Thomas M.

Abstract

Let v(A) be the extinction probability for a contact process on a countable set S with initial state A [subset of] S. We prove that for any sets A, B [subset of] S, [nu](A[intersection]B)[nu](A[union or logical sum]B)[greater-or-equal, slanted][nu](A)[nu](B). We also prove an analogous statement for oriented percolation.

Suggested Citation

  • Belitsky, Vladimir & Ferrari, Pablo A. & Konno, Norio & Liggett, Thomas M., 1997. "A strong correlation inequality for contact processes and oriented percolation," Stochastic Processes and their Applications, Elsevier, vol. 67(2), pages 213-225, May.
    • Handle: RePEc:eee:spapps:v:67:y:1997:i:2:p:213-225
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    Cited by:

    1. Aidan Sudbury, 2000. "Dual Families of Interacting Particle Systems on Graphs," Journal of Theoretical Probability, Springer, vol. 13(3), pages 695-716, July.

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