On the growth of one-dimensional reverse immunization contact processes

On the growth of one-dimensional reverse immunization contact processes
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一维反向免疫接触过程的增长

DOI:
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发表时间:
2010
期刊:
影响因子:
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通讯作者:
A. Tzioufas
A. Tzioufas
中科院分区:
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文献类型:
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作者:
A. Tzioufas

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我们关注的是超临界接触过程的改进,使第一次感染的发生率较低,已知该过程以正概率存活。对于从一个感染点开始并有条件生存的过程的最右感染点,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。我们还将完全收敛推广到这种修正情况。
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.