On the growth of one-dimensional reverse immunization contact processes

Details On the growth of one-dimensional reverse immunization contact processes On the growth of one-dimensional reverse immunization contact processes

2010-10-04

arxiv.org/abs/1010.0629v3

Mathematics

Probability

Due to appear, Journal of Applied Probability 48.3 (September 2011)

Scientific paper

We are concerned with the supercritical contact process modified so 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 to this modified case.

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