Long-time behaviour of Galton-Watson systems with circular mechanism
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866908603218132992 |
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| author | Li, Junping Hou, Mixuan |
| author_facet | Li, Junping Hou, Mixuan |
| contents | This paper concentrates on the limit behavior of discrete-time branching process with circular mechanism. Three types of limit behaviour of discrete-time branching process with circular mechanism are given explicitly under various moment conditions on branching rates. It is proved that the rate of the first one is geometric, while the other two are supergeometric. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_18478 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Long-time behaviour of Galton-Watson systems with circular mechanism Li, Junping Hou, Mixuan Probability This paper concentrates on the limit behavior of discrete-time branching process with circular mechanism. Three types of limit behaviour of discrete-time branching process with circular mechanism are given explicitly under various moment conditions on branching rates. It is proved that the rate of the first one is geometric, while the other two are supergeometric. |
| title | Long-time behaviour of Galton-Watson systems with circular mechanism |
| topic | Probability |
| url | https://arxiv.org/abs/2404.18478 |