The Second Phase Transition of the Contact Process on a Random Regular Graph
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866915196266610688 |
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| author | Fernley, John |
| author_facet | Fernley, John |
| contents | The regular tree corresponds to the random regular graph as its local limit. For this reason the famous double phase transition of the contact process on regular tree has been seen to correspond to a phase transition on the large random regular graph, at least at the first critical value. In this article, we find a phase transition on that large finite graph at the second critical value: between linear reinfections and reinfections following a long healthy period. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_10499 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The Second Phase Transition of the Contact Process on a Random Regular Graph Fernley, John Probability Primary 82C22, Secondary 05C80, 60K35 The regular tree corresponds to the random regular graph as its local limit. For this reason the famous double phase transition of the contact process on regular tree has been seen to correspond to a phase transition on the large random regular graph, at least at the first critical value. In this article, we find a phase transition on that large finite graph at the second critical value: between linear reinfections and reinfections following a long healthy period. |
| title | The Second Phase Transition of the Contact Process on a Random Regular Graph |
| topic | Probability Primary 82C22, Secondary 05C80, 60K35 |
| url | https://arxiv.org/abs/2503.10499 |