The contact process on a bipartite spatial network
Fuente:
arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866917376919863296 |
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| author | Fernley, John Hirsch, Christian Valesin, Daniel |
| author_facet | Fernley, John Hirsch, Christian Valesin, Daniel |
| contents | We study the contact process on a random bipartite connection hypergraph generated from two Poisson point processes, with mark-dependent connection thresholds. For asymmetric infection rates and asymmetric power law tail decays of the two degree distributions, we determine the dominant survival strategies in all parameter regimes and provide asymptotics for the epidemic probability up to logarithmic factors. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_00630 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | The contact process on a bipartite spatial network Fernley, John Hirsch, Christian Valesin, Daniel Probability Primary: 60K35, 82C22, secondary: 05C80, 60J80 We study the contact process on a random bipartite connection hypergraph generated from two Poisson point processes, with mark-dependent connection thresholds. For asymmetric infection rates and asymmetric power law tail decays of the two degree distributions, we determine the dominant survival strategies in all parameter regimes and provide asymptotics for the epidemic probability up to logarithmic factors. |
| title | The contact process on a bipartite spatial network |
| topic | Probability Primary: 60K35, 82C22, secondary: 05C80, 60J80 |
| url | https://arxiv.org/abs/2604.00630 |