On recurrent properties and convergence rates of generalised Fisher -- Wright's diffusion with mutation
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2022
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| _version_ | 1866908284328345600 |
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| author | Sineokiy, Roman Veretennikov, Alexander |
| author_facet | Sineokiy, Roman Veretennikov, Alexander |
| contents | A generalised one-dimensional Fisher-Wright diffusion process with mutations is considered. This is a well-known model in population genetics. An exponential recurrence is established for the process, which also implies an exponential rate of convergence towards the invariant measure. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2211_06098 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | On recurrent properties and convergence rates of generalised Fisher -- Wright's diffusion with mutation Sineokiy, Roman Veretennikov, Alexander Probability 60G53, 60J60 A generalised one-dimensional Fisher-Wright diffusion process with mutations is considered. This is a well-known model in population genetics. An exponential recurrence is established for the process, which also implies an exponential rate of convergence towards the invariant measure. |
| title | On recurrent properties and convergence rates of generalised Fisher -- Wright's diffusion with mutation |
| topic | Probability 60G53, 60J60 |
| url | https://arxiv.org/abs/2211.06098 |