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Abstract: Asymptotic analysis on some statistical properties of the random binary-treemodel is developed. We quantify a hierarchical structure of branching patternsbased on the Horton-Strahler analysis. We introduce a transformation of abinary tree, and derive a recursive equation about branch orders. As anapplication of the analysis, topological self-similarity and its generalizationis proved in an asymptotic sense. Also, some important examples are presented.



Autor: Ken Yamamoto, Yoshihiro Yamazaki

Fuente: https://arxiv.org/



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