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On the Growth of the One-Dimensional Reverse Immunization Contact Processes
Published online by Cambridge University Press: 14 July 2016
Abstract
We are concerned with the variation of the supercritical nearest-neighbours contact process such that first infection occurs at a lower rate; it is known that the process survives with positive probability. Regarding the rightmost infected of the process started from one site infected and conditioned to survive, we specify a sequence of space-time points at which its behaviour regenerates and, thus, obtain the corresponding strong law and central limit theorem. We also extend complete convergence in this case.
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- Copyright © Applied Probability Trust 2011
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