Abstract Algorithms of Monte Carlo method for estimating probabilistic moments of the parameter of time exponential asymptotics of particle flux with multiplication in a random medium are constructed. It was analytically and numerically shown that the asymptotics of the mean number of particles is close to an exponential one with the factor containing a summand proportional to square of time.

中文翻译：

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随机介质中粒子通量随乘法的时间相关性研究

摘要 构建了估计随机介质中粒子通量的时间指数渐近性参数的概率矩的蒙特卡罗方法算法。分析和数值表明，平均粒子数的渐近性接近指数，其因子包含与时间的平方成正比的被加数。