arXiv Open Access 2023

The site frequency spectrum for coalescing Brownian motion

Yubo Shuai

Lihat Sumber

Abstrak

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.

Topik & Kata Kunci

math.PR

Penulis (1)

Yubo Shuai

Format Sitasi

APA MLA BibTeX

Shuai, Y. (2023). The site frequency spectrum for coalescing Brownian motion. https://arxiv.org/abs/2308.07533

Akses Cepat

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Informasi Jurnal

Tahun Terbit: 2023
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓