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arXiv · 2105.10027

On recurrent properties of Fisher-Wright's diffusion on $(0,1)$ with mutation

Roman Sineokiy·Alexander Veretennikov
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Abstract

One-dimensional Fisher-Wright diffusion process on the interval $(0,1)$ with mutations is considered. This is a widely known model in population genetics. The goal of the paper is an exponential recurrence of the process, which also implies exponential rate of convergence towards the invariant measure.

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Roman Sineokiy, Alexander Veretennikov. 2021-05-20. On recurrent properties of Fisher-Wright's diffusion on $(0,1)$ with mutation. https://doi.org/10.1515/rose-2021-2061

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