The site frequency spectrum for coalescing Brownian motion
Probability
2023-08-16 v1
Abstract
We consider an expanding population on the plane. The genealogy of a sample from the population is modelled by coalescing Brownian motion on the circle. We establish a weak law of large numbers for the site frequency spectrum in this model. A parallel result holds for a localized version where the genealogy is modelled by coalescing Brownian motion on the line.
Cite
@article{arxiv.2308.07533,
title = {The site frequency spectrum for coalescing Brownian motion},
author = {Yubo Shuai},
journal= {arXiv preprint arXiv:2308.07533},
year = {2023}
}
Comments
17 pages, 1 figure