TREE-BASED MODELS FOR RANDOM DISTRIBUTION OF MASS
TREE-BASED MODELS FOR RANDOM DISTRIBUTION OF MASS
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DOI：
10.1007/bf01054343
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发表时间：
1993-11-01
影响因子：
1.6
通讯作者：
ALDOUS, D
中科院分区：
文献类型：
--
作者：
ALDOUS, D
本文介绍并研究了一种基于随机嵌入随机树的d维空间质量分布的数学模型。该模型是数学家研究的超布朗运动过程的一个变体。我们目前的计算有关（i）一个典型的质量元素的位置分布，（ii）矩的质量中心，（iii）大偏差的行为，和（iv）递归自相似性。
A mathematical model for distribution of mass in d-dimensional space, based upon randomly embedding random trees into space, is introduced and studied. The model is a variant of the super Brownian motion process studied by mathematicians. We present calculations relating to (i) the distribution of position of a typical mass element, (ii) moments of the center of mass, (iii) large-deviation behavior, and (iv) a recursive self-similarity property.