Journal of Theoretical Probability

, Volume 27, Issue 3, pp 1045–1057 | Cite as

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

  • Roman Berezin
  • Leonid Mytnik


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 \(d\ge 3.\)


Asymptotic behaviour Contact processes Rapid stirring  Interacting particle systems 

Mathematics Subject Classification (2010)

Primary 82C22 60K35 Secondary 60J80 



Both authors thank an anonymous referee for the careful reading of the manuscript and for a number of useful comments and suggestions that improved the exposition. Supported by the ISF grant 497/10.


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Copyright information

© Springer Science+Business Media New York 2012

Authors and Affiliations

  1. 1.Faculty of Industrial Engineering and Management TechnionIsrael Institute of TechnologyHaifaIsrael

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