用$E(Z_+ \log Z_+) = \infty$研究超临界Bellman-Harris过程的Seneta常数
On Seneta's constants for the supercritical Bellman-Harris process with $E(Z_+ \log Z_+) = \infty$
摘要：
对于有限平均超临界Bellman-Harris过程，存在数$χ_t$（Seneta常数）使得$χ_t$乘以时刻的总体大小$t$几乎必然收敛到非退化极限.我们得到的假设下，粒子的寿命分布是强烈的非晶格的Seneta常数的缓慢变化的部分的表征。
英文摘要：
For a finite mean supercriticial Bellman-Harris process, there exist numbers $χ_t$ (the Seneta constants) such that $χ_t$ times the size of the population at time $t$ converges almost surely to a non-degenerate limit. We obtain a characterisation of the slowly varying part of the Seneta constants under the assumption that the life-time distribution of particles is strongly non-lattice.
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