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arXiv · 2308.07533

The site frequency spectrum for coalescing Brownian motion

Yubo Shuai
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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.

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Yubo Shuai. 2023-08-15. The site frequency spectrum for coalescing Brownian motion. https://arxiv.org/abs/2308.07533

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