广义derrida - reaux递推模型的渐近性质

IF 1.2 3区物理与天体物理 Q3 PHYSICS, MATHEMATICAL

Journal of Statistical Physics Pub Date : 2025-07-16 DOI:10.1007/s10955-025-03480-3

Zenghu Li, Run Zhang

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引用次数: 0

摘要

本文研究了Hu和Shi （J. Stat. Phys）提出的最大递归模型。（J. Stat. Phys., 2018），推广了德里达和雷托克斯（J. Stat. Phys.）的模型。, 2014)。具有几何子代分布的模型保留了几何型边际分布的类别。给出了边缘分布参数的长时间渐近展开式。通过展开式，我们得到了可持续概率、边际分布、一阶矩和概率生成函数的渐近性。

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Asymptotic Behavior of the Generalized Derrida–Retaux Recursive Model

We study the max-type recursive model introduced by Hu and Shi (J. Stat. Phys., 2018), which generalizes the model of Derrida and Retaux (J. Stat. Phys., 2014). The class of geometric-type marginal distributions is preserved by the model with geometric offspring distribution. We give some long-time asymptotic expansions of the parameters of the marginal distribution. From the expansions, we derive the asymptotics of the sustainability probability, marginal distribution, first moment and probability generating function.

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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.