English

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

Probability 2025-03-27 v3

Abstract

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.

Keywords

Cite

@article{arxiv.2211.06098,
  title  = {On recurrent properties and convergence rates of generalised Fisher -- Wright's diffusion with mutation},
  author = {Roman Sineokiy and Alexander Veretennikov},
  journal= {arXiv preprint arXiv:2211.06098},
  year   = {2025}
}

Comments

13 pages, 14 references