Stable trees as mixings of inhomogeneous continuum random trees

IF 1.1 2区数学 Q3 STATISTICS & PROBABILITY

Stochastic Processes and their Applications Pub Date : 2024-06-08 DOI:10.1016/j.spa.2024.104404

Minmin Wang

引用次数: 0

Abstract

It has been claimed in Aldous et al. (2004) that all Lévy trees are mixings of inhomogeneous continuum random trees. We give a rigorous proof of this claim in the case of a stable branching mechanism, relying on a new procedure for recovering the tree distance from the graphical spanning trees that works simultaneously for stable trees and inhomogeneous continuum random trees.

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作为不均匀连续随机树混合体的稳定树

Aldous 等人（2004）声称，所有莱维树都是非均匀连续随机树的混合体。我们根据从图形生成树中恢复树距的新程序，在稳定分支机制的情况下对这一说法给出了严格的证明，该程序同时适用于稳定树和非均质连续随机树。

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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来源期刊

Stochastic Processes and their Applications 数学-统计学与概率论

CiteScore

2.90

自引率

7.10%

发文量

180

审稿时长

23.6 weeks

期刊介绍： Stochastic Processes and their Applications publishes papers on the theory and applications of stochastic processes. It is concerned with concepts and techniques, and is oriented towards a broad spectrum of mathematical, scientific and engineering interests. Characterization, structural properties, inference and control of stochastic processes are covered. The journal is exacting and scholarly in its standards. Every effort is made to promote innovation, vitality, and communication between disciplines. All papers are refereed.