The on/off Brownian snake
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866918425470697472 |
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| author | Buckland, Matthew Jacobi, Dave |
| author_facet | Buckland, Matthew Jacobi, Dave |
| contents | We define what we call an on/off Brownian snake. We use this to construct on/off super Brownian motion recently introduced to the literature by Blath and Jacobi and which is a measure-valued branching process with a dormant state and an active state. Our construction mirrors the construction of super Brownian motion from the Brownian snake by Le Gall. We use the on/off Brownian snake to obtain results concerning the support, range, and expected total mass of on/off super Brownian motion. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_01852 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | The on/off Brownian snake Buckland, Matthew Jacobi, Dave Probability We define what we call an on/off Brownian snake. We use this to construct on/off super Brownian motion recently introduced to the literature by Blath and Jacobi and which is a measure-valued branching process with a dormant state and an active state. Our construction mirrors the construction of super Brownian motion from the Brownian snake by Le Gall. We use the on/off Brownian snake to obtain results concerning the support, range, and expected total mass of on/off super Brownian motion. |
| title | The on/off Brownian snake |
| topic | Probability |
| url | https://arxiv.org/abs/2604.01852 |