Scaling limits of Smoluchowski particles
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| Soggetti: | |
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| _version_ | 1866910077016866816 |
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| author | Amorim, Julian Arellano, Arturo Jara, Milton |
| author_facet | Amorim, Julian Arellano, Arturo Jara, Milton |
| contents | We prove a law of large numbers and a functional central limit theorem for the empirical density of a Marcus-Lushnikov model. The limiting density turns out to be the solution of a Smoluchowski equation, and the fluctuations around this limit are shown to be described by an Ornstein-Uhlenbeck process with drift term given by the linearization of the Smoluchowski operator. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_25868 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Scaling limits of Smoluchowski particles Amorim, Julian Arellano, Arturo Jara, Milton Probability 60F05, 60K35 We prove a law of large numbers and a functional central limit theorem for the empirical density of a Marcus-Lushnikov model. The limiting density turns out to be the solution of a Smoluchowski equation, and the fluctuations around this limit are shown to be described by an Ornstein-Uhlenbeck process with drift term given by the linearization of the Smoluchowski operator. |
| title | Scaling limits of Smoluchowski particles |
| topic | Probability 60F05, 60K35 |
| url | https://arxiv.org/abs/2603.25868 |