Horton-Strahler分析中随机二叉树分支的精确偏差

IF 1.3 3区物理与天体物理 Q3 PHYSICS, MATHEMATICAL

Journal of Statistical Physics Pub Date : 2025-04-29 DOI:10.1007/s10955-025-03448-3

Fuqing Gao, Zhi Qu, Youzhou Zhou

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引用次数: 0

摘要

本文研究了随机二叉树在Horton-Strahler分析下分支数的精确偏差。我们为随机二叉树的分支数量建立了精确的大偏差、精确的中等偏差和cram -type中等偏差。由于cram适度偏差，导出了Berry-Esseen界。这些结果的推导在很大程度上依赖于某些离散求和的渐近分析。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Precise Deviations for Branches of the Random Binary Tree in the Horton–Strahler Analysis

In this paper, we study the precise deviations for the number of branches of a random binary tree in the context of Horton–Strahler analysis. We establish precise large deviations, precise moderate deviations, and Cramér-type moderate deviations for the number of branches of the random binary tree. As a consequence of the Cramér-type moderate deviations, a Berry–Esseen bound is derived. The derivations of these results rely heavily on asymptotic analysis of certain discrete summations.

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来源期刊

Journal of Statistical Physics 物理-物理：数学物理

CiteScore

3.10

自引率

12.50%

发文量

152

审稿时长

3-6 weeks

期刊介绍： The Journal of Statistical Physics publishes original and invited review papers in all areas of statistical physics as well as in related fields concerned with collective phenomena in physical systems.