The site frequency spectrum for coalescing Brownian motion

Yubo Shuai

Stochastic Processes and their Applications, 2025, vol. 180, issue C

Abstract: Motivated by the goal of understanding the genealogy of a sample from an expanding population in the plane, we consider coalescing Brownian motion on the circle. For this model, we establish a weak law of large numbers for the site frequency spectrum. A parallel result holds for a localized version where the genealogy is modeled by coalescing Brownian motion on the line.

Keywords: Coalescing Brownian motion; Site frequency spectrum (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1016/j.spa.2024.104521

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