Oriented bond-site percolation in random environment and contact processes with periodic recovery
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866913920015400960 |
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| author | Jahnel, Benedikt Lüchtrath, Lukas Vu, Anh Duc |
| author_facet | Jahnel, Benedikt Lüchtrath, Lukas Vu, Anh Duc |
| contents | We investigate oriented bond-site percolation on the planar lattice in which entire columns are stretched. Generalising recent results by Hilário et al., we establish non-trivial percolation under a $(1+\varepsilon)$-th moment condition on the stretches and use this to prove survival of contact processes with periodic recoveries as well as in random environments. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_00329 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Oriented bond-site percolation in random environment and contact processes with periodic recovery Jahnel, Benedikt Lüchtrath, Lukas Vu, Anh Duc Probability Primary 60K05, Secondary 60K35, 82B43 We investigate oriented bond-site percolation on the planar lattice in which entire columns are stretched. Generalising recent results by Hilário et al., we establish non-trivial percolation under a $(1+\varepsilon)$-th moment condition on the stretches and use this to prove survival of contact processes with periodic recoveries as well as in random environments. |
| title | Oriented bond-site percolation in random environment and contact processes with periodic recovery |
| topic | Probability Primary 60K05, Secondary 60K35, 82B43 |
| url | https://arxiv.org/abs/2507.00329 |