Explicit solutions of the Bass and SI models on hypernetworks
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Acceso en línea: | |
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| _version_ | 1866914874613825536 |
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| author | Fibich, Gadi Restrepo, Juan G. Rothmann, Guy |
| author_facet | Fibich, Gadi Restrepo, Juan G. Rothmann, Guy |
| contents | We analyze the Bass model and the Susceptible-Infected (SI) model on hypergraphs with 3-body interactions. We derive the master equations for general hypernetworks, and use them to obtain explicit expressions for the expected adoption/infection level on infinite complete hypernetworks, infinite Erdős-Rényi hypernetworks, and on infinite hyperlines. These expressions are exact, as they are derived without making any approximation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_12123 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Explicit solutions of the Bass and SI models on hypernetworks Fibich, Gadi Restrepo, Juan G. Rothmann, Guy Physics and Society We analyze the Bass model and the Susceptible-Infected (SI) model on hypergraphs with 3-body interactions. We derive the master equations for general hypernetworks, and use them to obtain explicit expressions for the expected adoption/infection level on infinite complete hypernetworks, infinite Erdős-Rényi hypernetworks, and on infinite hyperlines. These expressions are exact, as they are derived without making any approximation. |
| title | Explicit solutions of the Bass and SI models on hypernetworks |
| topic | Physics and Society |
| url | https://arxiv.org/abs/2407.12123 |