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Asymptotic Behaviour of the Critical Value for the Contact Process with Rapid Stirring

Author

Listed:
  • Roman Berezin

    (Israel Institute of Technology)

  • Leonid Mytnik

    (Israel Institute of Technology)

Abstract

We study the behaviour of the contact process with rapid stirring on the lattice $$\mathbb Z ^d$$ in dimensions $$d\ge 3.$$ This process was studied earlier by Konno and Katori, who proved results for the speed of convergence of the critical value as the rate of stirring approaches infinity. In this article we improve the results of Konno and Katori and establish the sharp asymptotics of the critical value in dimensions $$d\ge 3.$$

Suggested Citation

  • Roman Berezin & Leonid Mytnik, 2014. "Asymptotic Behaviour of the Critical Value for the Contact Process with Rapid Stirring," Journal of Theoretical Probability, Springer, vol. 27(3), pages 1045-1057, September.
    • Handle: RePEc:spr:jotpro:v:27:y:2014:i:3:d:10.1007_s10959-012-0470-z
    DOI: 10.1007/s10959-012-0470-z
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