Work

The site frequency spectrum for coalescing Brownian motion

Year: 2024

Type: article

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.

Source: Stochastic Processes and their Applications

DOI: 10.1016/j.spa.2024.104521

Author: Yubo Shuai

Language: English

Topic: Stochastic processes and statistical mechanics

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,420

OpenAlex ID: W4404025898

FWCI:

Cites: 17

Cited by:

Related to: 10