Results on the contact process with dynamic edges or under renewals
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2021
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| _version_ | 1866914293618835456 |
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| author | Hilário, Marcelo Ungaretti, Daniel Valesin, Daniel Vares, Maria Eulália |
| author_facet | Hilário, Marcelo Ungaretti, Daniel Valesin, Daniel Vares, Maria Eulália |
| contents | We analyze variants of the contact process that are built by modifying the percolative structure given by the graphical construction and develop a robust renormalization argument for proving extinction in such models. With this method, we obtain results on the phase diagram of two models: the Contact Process on Dynamic Edges introduced by Linker and Remenik and a generalization of the Renewal Contact Process introduced by Fontes, Marchetti, Mountford and Vares. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2108_03219 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Results on the contact process with dynamic edges or under renewals Hilário, Marcelo Ungaretti, Daniel Valesin, Daniel Vares, Maria Eulália Probability 60K35, 60K05, 82B43 We analyze variants of the contact process that are built by modifying the percolative structure given by the graphical construction and develop a robust renormalization argument for proving extinction in such models. With this method, we obtain results on the phase diagram of two models: the Contact Process on Dynamic Edges introduced by Linker and Remenik and a generalization of the Renewal Contact Process introduced by Fontes, Marchetti, Mountford and Vares. |
| title | Results on the contact process with dynamic edges or under renewals |
| topic | Probability 60K35, 60K05, 82B43 |
| url | https://arxiv.org/abs/2108.03219 |