Asymptotic behavior of the generalized Derrida-Retaux recursive model
Fuente:
arXiv
Guardado en:
| Autores principales: | , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2024
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866916903454244864 |
|---|---|
| author | Li, Zenghu Zhang, Run |
| author_facet | Li, Zenghu Zhang, Run |
| contents | 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 a 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_13068 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Asymptotic behavior of the generalized Derrida-Retaux recursive model Li, Zenghu Zhang, Run Probability 60J05, 82B27 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 a 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. |
| title | Asymptotic behavior of the generalized Derrida-Retaux recursive model |
| topic | Probability 60J05, 82B27 |
| url | https://arxiv.org/abs/2411.13068 |