Chase-escape with conversion as a multiple sclerosis lesion model
Fuente:
arXiv
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| Auteurs principaux: | , , , , , , , , , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866915416495882240 |
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| author | Bailey, Emma Beckman, Erin Hernández-Torres, Saraí Junge, Matthew Kumar, Aanjaneya Lee, Ann Li, Danny queer, tahda Raufov, Alisher Reeves, Lily Rondel, Omer |
| author_facet | Bailey, Emma Beckman, Erin Hernández-Torres, Saraí Junge, Matthew Kumar, Aanjaneya Lee, Ann Li, Danny queer, tahda Raufov, Alisher Reeves, Lily Rondel, Omer |
| contents | We introduce conversion to the stochastic process known as chase-escape in an effort to model aspects of inflammatory damage from multiple sclerosis. We prove monotonicity results for aggregate damage for the model on the positive integers, trees, stars, and the complete graph. Additionally, we establish the existence and asymptotic order of a phase transition on bounded degree graphs with a non-trivial site percolation threshold. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_21235 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Chase-escape with conversion as a multiple sclerosis lesion model Bailey, Emma Beckman, Erin Hernández-Torres, Saraí Junge, Matthew Kumar, Aanjaneya Lee, Ann Li, Danny queer, tahda Raufov, Alisher Reeves, Lily Rondel, Omer Probability 60K35 We introduce conversion to the stochastic process known as chase-escape in an effort to model aspects of inflammatory damage from multiple sclerosis. We prove monotonicity results for aggregate damage for the model on the positive integers, trees, stars, and the complete graph. Additionally, we establish the existence and asymptotic order of a phase transition on bounded degree graphs with a non-trivial site percolation threshold. |
| title | Chase-escape with conversion as a multiple sclerosis lesion model |
| topic | Probability 60K35 |
| url | https://arxiv.org/abs/2507.21235 |