Branching Random Walks in Random Environment
Branching Random Walks in Random Environment
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发表时间：
2007
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通讯作者：
Quansheng Liu
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作者：
Quansheng Liu
给出了随机环境中分枝过程的两个模型的最新结果。第一个模型是在时间上具有随机环境的R上的分枝随机游动，其中第n代粒子的后代分布及其子粒子的位移分布取决于以时间n为指标的环境�=(�n)，假设它是平稳的遍历随机变量序列。第二个模型是Z上具有时间和位置随机环境的分枝随机游走，其中一代粒子的后代分布
We present our recent results on two models of branching processes in random environment. The first model is a branching random walk on R with random environment in time, in which the offspring distribution of a particle of generation n, and the distributions of the displacements of their children depend on an environment � = (�n) indexed by the time n, which is supposed to be a stationary and ergodic sequence of random variables. The second model is a branching random walk on Z with random environment in time and in locations, in which the offspring distribution of a particle of generation