arXiv subjects

Roman Sineokiy

Publications and source records attributed to Roman Sineokiy.

2 recordsLinked to original sources

arXiv2023

On recurrent properties and convergence rates of generalised Fisher -- Wright's diffusion with mutation

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.

math.PR↗

arXiv2021

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

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.

math.PR↗