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The convergence of the biased annihilating branching process and the double-flipping process in d

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  • Sudbury, Aidan

Abstract

It is shown that, if the initial measure is translation-invariant, then finite-range stochastic Ising models allowing zero flip-rates converge. In particular, the biased annihilating process converges to a mixture of a product measure and [delta]ø and the double-flipping process converges to a product measure. The method of relative entropy is employed.

Suggested Citation

  • Sudbury, Aidan, 1997. "The convergence of the biased annihilating branching process and the double-flipping process in d," Stochastic Processes and their Applications, Elsevier, vol. 68(2), pages 255-264, June.
    • Handle: RePEc:eee:spapps:v:68:y:1997:i:2:p:255-264
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    References listed on IDEAS

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    1. Bramson, Maury & Wan-ding, Ding & Durrett, Rick, 1991. "Annihilating branching processes," Stochastic Processes and their Applications, Elsevier, vol. 37(1), pages 1-17, February.
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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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