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

Roman Berezin; Leonid Mytnik

doi:10.1007/s10959-012-0470-z

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

Roman Berezin, Leonid Mytnik

Data and Decision Sciences

Technion - Israel Institute of Technology

Research output: Contribution to journal › Article › peer-review

Abstract

We study the behaviour of the contact process with rapid stirring on the lattice ℤ^d 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.

Original language	English
Pages (from-to)	1045-1057
Number of pages	13
Journal	Journal of Theoretical Probability
Volume	27
Issue number	3
DOIs	https://doi.org/10.1007/s10959-012-0470-z
State	Published - Sep 2014

Keywords

Asymptotic behaviour
Contact processes
Interacting particle systems
Rapid stirring

All Science Journal Classification (ASJC) codes

Statistics and Probability
Statistics, Probability and Uncertainty
General Mathematics

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10.1007/s10959-012-0470-z

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abstract = "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.",

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author = "Roman Berezin and Leonid Mytnik",

note = "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.",

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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.

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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

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DO - 10.1007/s10959-012-0470-z

M3 - مقالة

SN - 0894-9840

VL - 27

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EP - 1057

JO - Journal of Theoretical Probability

JF - Journal of Theoretical Probability

IS - 3

ER -

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

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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