On ballistic deposition process on a strip.
On ballistic deposition process on a strip.
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关于带材上的弹道沉积过程。
DOI：
10.1007/s10955-019-02383-4
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发表时间：
2019
影响因子：
1.6
通讯作者：
Roitershtein,Alexander
中科院分区：
文献类型：
--
作者：
Mansour,Toufik;Rastegar,Reza;Roitershtein,Alexander
我们重新审视了Atar等人（Electron Commun Probab 6：31-38，2001）中研究的弹道沉积模型，并证明了由潜在随机过程形成的随机树结构的几个组合性质。我们的研究结果包括极限定理的根的数量和经验平均值的两个连续的根之间的距离的基本树状结构，以及某些复杂的时刻计算。
We revisit the model of the ballistic deposition studied in Atar et al. (Electron Commun Probab 6:31–38, 2001) and prove several combinatorial properties of the random tree structure formed by the underlying stochastic process. Our results include limit theorems for the number of roots and the empirical average of the distance between two successive roots of the underlying tree-like structure as well as certain intricate moments calculations.