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arXiv 1010.0629math.PR
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一维反向免疫接触过程的增长性

On the growth of one-dimensional reverse immunization contact processes

Achilleas Tzioufas

摘要:

我们关心的是超临界接触过程的修改,使第一次感染发生在一个较低的速度,它是已知的,该过程的生存与积极的概率。对于从一个被感染并适应生存的位点开始的过程的最右边的被感染者,我们指定了其行为再生的时空点序列,从而得到了相应的强定律和中心极限定理。我们还将全收敛推广到这种改进的情形。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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