Characterization of the threshold for multi-range percolation on oriented trees
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2023
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866917135503065088 |
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| author | Couronné, Olivier |
| author_facet | Couronné, Olivier |
| contents | We give a characterization of the percolation threshold for a multirange model on oriented trees, as the first positive root of a polynomial, with the use of a multi-type Galton-Watson process. This gives in particular the exact value of the critical point for the model studied in [2] and [3] for k = 2. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2307_01554 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Characterization of the threshold for multi-range percolation on oriented trees Couronné, Olivier Probability We give a characterization of the percolation threshold for a multirange model on oriented trees, as the first positive root of a polynomial, with the use of a multi-type Galton-Watson process. This gives in particular the exact value of the critical point for the model studied in [2] and [3] for k = 2. |
| title | Characterization of the threshold for multi-range percolation on oriented trees |
| topic | Probability |
| url | https://arxiv.org/abs/2307.01554 |