Linear and uniform in time bound for the binary branching model with Moran type interactions
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arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866917906761121792 |
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| author | Cox, A M G Horton, E Villemonais, D |
| author_facet | Cox, A M G Horton, E Villemonais, D |
| contents | In this note, we recall the definition of the binary branching model with Moran type interactions (BBMMI) introduced in [8]. In this interacting particle system, particles evolve, reproduce and die independently and, with a probability that may depend on the configuration of the whole system, the death of a particle may trigger the reproduction of another particle, while a branching event may trigger the death of another particle. We recall its relation to the Feynman-Kac semigroup of the underlying Markov evolution and improve on the L 2 distance between their normalisations proved in [8], when additional regularity is assumed on the process. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_18208 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Linear and uniform in time bound for the binary branching model with Moran type interactions Cox, A M G Horton, E Villemonais, D Probability In this note, we recall the definition of the binary branching model with Moran type interactions (BBMMI) introduced in [8]. In this interacting particle system, particles evolve, reproduce and die independently and, with a probability that may depend on the configuration of the whole system, the death of a particle may trigger the reproduction of another particle, while a branching event may trigger the death of another particle. We recall its relation to the Feynman-Kac semigroup of the underlying Markov evolution and improve on the L 2 distance between their normalisations proved in [8], when additional regularity is assumed on the process. |
| title | Linear and uniform in time bound for the binary branching model with Moran type interactions |
| topic | Probability |
| url | https://arxiv.org/abs/2501.18208 |