Topological Self-similarity on the Random Binary-Tree Model
Topological Self-similarity on the Random Binary-Tree Model
复制标题
随机二叉树模型的拓扑自相似性
DOI：
10.1007/s10955-010-9928-5
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发表时间：
2009
期刊：
影响因子：
--
通讯作者：
Y. Yamazaki
中科院分区：
文献类型：
--
作者：
Ken Yamamoto;Y. Yamazaki
Asymptotic analysis on some statistical properties of the random binary-tree model is developed. We quantify a hierarchical structure of branching patterns based on the Horton-Strahler analysis. We introduce a transformation of a binary tree, and derive a recursive equation about branch orders. As an application of the analysis, topological self-similarity and its generalization is proved in an asymptotic sense. Also, some important examples are presented.
