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

Roman Berezin () and Leonid Mytnik
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Roman Berezin: Israel Institute of Technology
Leonid Mytnik: Israel Institute of Technology

Journal of Theoretical Probability, 2014, vol. 27, issue 3, 1045-1057

Abstract: 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 $$d\ge 3.$$

Keywords: Asymptotic behaviour; Contact processes; Rapid stirring; Interacting particle systems; Primary 82C22; 60K35; Secondary 60J80 (search for similar items in EconPapers)
Date: 2014
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DOI: 10.1007/s10959-012-0470-z

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