TY - JOUR
T1 - Asymptotic Behaviour of the Critical Value for the Contact Process with Rapid Stirring
AU - Berezin, Roman
AU - Mytnik, Leonid
N1 - Funding Information:
Acknowledgments 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.
PY - 2014/9
Y1 - 2014/9
N2 - We study the behaviour of the contact process with rapid stirring on the lattice ℤd in dimensions d ≥ 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 ≥ 3.
AB - We study the behaviour of the contact process with rapid stirring on the lattice ℤd in dimensions d ≥ 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 ≥ 3.
KW - Asymptotic behaviour
KW - Contact processes
KW - Interacting particle systems
KW - Rapid stirring
UR - http://www.scopus.com/inward/record.url?scp=84905725242&partnerID=8YFLogxK
U2 - 10.1007/s10959-012-0470-z
DO - 10.1007/s10959-012-0470-z
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AN - SCOPUS:84905725242
SN - 0894-9840
VL - 27
SP - 1045
EP - 1057
JO - Journal of Theoretical Probability
JF - Journal of Theoretical Probability
IS - 3
ER -