Annihilating branching Brownian motion
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866915619394289664 |
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| author | Ahlberg, Daniel Angel, Omer Kolesnik, Brett |
| author_facet | Ahlberg, Daniel Angel, Omer Kolesnik, Brett |
| contents | We study an interacting system of competing particles on the real line. Two populations of positive and negative particles evolve according to branching Brownian motion. When opposing particles meet, their charges neutralize and the particles annihilate, as in an inert chemical reaction. We show that, with positive probability, the two populations coexist and that, on this event, the interface is asymptotically linear with a random slope. A variety of generalizations and open problems are discussed. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_03669 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Annihilating branching Brownian motion Ahlberg, Daniel Angel, Omer Kolesnik, Brett Probability 60J65, 60J80 We study an interacting system of competing particles on the real line. Two populations of positive and negative particles evolve according to branching Brownian motion. When opposing particles meet, their charges neutralize and the particles annihilate, as in an inert chemical reaction. We show that, with positive probability, the two populations coexist and that, on this event, the interface is asymptotically linear with a random slope. A variety of generalizations and open problems are discussed. |
| title | Annihilating branching Brownian motion |
| topic | Probability 60J65, 60J80 |
| url | https://arxiv.org/abs/2312.03669 |