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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2602.19794 |
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| _version_ | 1866917288608792576 |
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| author | Deshayes, Aurelia Marchand, Régine |
| author_facet | Deshayes, Aurelia Marchand, Régine |
| contents | The contact process on dynamic edges (CPDE) is a contact process evolving on a dynamic environment given by a dynamical percolation on the edges of Z d\,: each edge updates its state to open or closed with respective rates vp and v(1 -p). By coupling a well-chosen subset of once infected sites in the CPDE with a cluster of some supercritical percolation on the edges of Z d , we prove that, for every dimension d $\ge$ 2, we can find some slightly subcritical p < pc(d) such that for every update speed v > 0, the contact process with large enough infection rate can survive. This extends the result for dimension 1 proved by Linker and Remenik in [LR20]. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_19794 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | The Contact Process Can Survive on a Slightly Subcritical Dynamical Percolation Cluster Deshayes, Aurelia Marchand, Régine Probability The contact process on dynamic edges (CPDE) is a contact process evolving on a dynamic environment given by a dynamical percolation on the edges of Z d\,: each edge updates its state to open or closed with respective rates vp and v(1 -p). By coupling a well-chosen subset of once infected sites in the CPDE with a cluster of some supercritical percolation on the edges of Z d , we prove that, for every dimension d $\ge$ 2, we can find some slightly subcritical p < pc(d) such that for every update speed v > 0, the contact process with large enough infection rate can survive. This extends the result for dimension 1 proved by Linker and Remenik in [LR20]. |
| title | The Contact Process Can Survive on a Slightly Subcritical Dynamical Percolation Cluster |
| topic | Probability |
| url | https://arxiv.org/abs/2602.19794 |