A Central Limit Theorem for Modified Massive Arratia Flow
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Acceso en línea: | |
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| _version_ | 1866909282738372608 |
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| author | Dorogovtsev, Andrey Konarovskyi, Vitalii von Renesse, Max |
| author_facet | Dorogovtsev, Andrey Konarovskyi, Vitalii von Renesse, Max |
| contents | The modified massive Arratia flow is a model for the dynamics of passive particle clusters moving in a random fluid that accounts for the effects of mass aggregation. We show a central limit theorem for the point process associated to the cluster positions when the system is started from a uniform configuration. The critical mixing estimate is obtained by coupling the system to countably many independent Brownian motions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_05030 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A Central Limit Theorem for Modified Massive Arratia Flow Dorogovtsev, Andrey Konarovskyi, Vitalii von Renesse, Max Probability Primary 60F05, 60K35, Secondary 60H40, 60G57 The modified massive Arratia flow is a model for the dynamics of passive particle clusters moving in a random fluid that accounts for the effects of mass aggregation. We show a central limit theorem for the point process associated to the cluster positions when the system is started from a uniform configuration. The critical mixing estimate is obtained by coupling the system to countably many independent Brownian motions. |
| title | A Central Limit Theorem for Modified Massive Arratia Flow |
| topic | Probability Primary 60F05, 60K35, Secondary 60H40, 60G57 |
| url | https://arxiv.org/abs/2408.05030 |