临界高尔顿-沃森树的局部收敛性

IF 0.7 4区数学 Q3 STATISTICS & PROBABILITY

Journal of Applied Probability Pub Date : 2023-11-30 DOI:10.1017/jpr.2023.83

Aymen Bouaziz

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引用次数: 0

摘要

研究了不同条件下临界高尔顿-沃森树的局部收敛性。我们给出了条件Galton-Watson树在分布上收敛于Kesten树的一个充分条件，该充分条件可以覆盖所有已知的结果。我们还提出了一个新的证明，给出了一个具有有限支持的临界高尔顿-沃森树的极限分布，条件是具有较大的宽度。

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Local convergence of critical Galton–Watson trees

We study the local convergence of critical Galton–Watson trees under various conditionings. We give a sufficient condition, which serves to cover all previous known results, for the convergence in distribution of a conditioned Galton–Watson tree to Kesten’s tree. We also propose a new proof to give the limit in distribution of a critical Galton–Watson tree, with finite support, conditioned on having a large width.

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来源期刊

Journal of Applied Probability 数学-统计学与概率论

CiteScore

1.50

自引率

10.00%

发文量

审稿时长

6-12 weeks

期刊介绍： Journal of Applied Probability is the oldest journal devoted to the publication of research in the field of applied probability. It is an international journal published by the Applied Probability Trust, and it serves as a companion publication to the Advances in Applied Probability. Its wide audience includes leading researchers across the entire spectrum of applied probability, including biosciences applications, operations research, telecommunications, computer science, engineering, epidemiology, financial mathematics, the physical and social sciences, and any field where stochastic modeling is used. A submission to Applied Probability represents a submission that may, at the Editor-in-Chief’s discretion, appear in either the Journal of Applied Probability or the Advances in Applied Probability. Typically, shorter papers appear in the Journal, with longer contributions appearing in the Advances.