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中文摘要：
在随机环境中分枝随机游动模型中，粒子的繁衍机制是随机环境中分枝过程，各代粒子在直线上的位置由依赖随机环境的点过程给定，讨论了各代点过程的Laplace变换由其条件期望规范化后的极限性质．
英文摘要：
In this paper, we consider a branching random walk in an independent and identically random environment which controls the probability distribution and the posi- tions of offspring. In this model, the positions of each generation particles is given by a point process. The Laplace transform of all these point processes normalized by their own conditional expectations is a martingale. Here it is shown that under certain conditions, the martingale converges uniformly in some appropriate region, almost surely and in mean.
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Removing Gaussian noise for color images by quaternion representation and optimization of weights in
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