arXiv Open Access 2025

On some properties of a positive linear operator via the Moran model in population genetics

Takahiro Aoyama Ryuya Namba

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Abstrak

We introduce a positive linear operator acting on the Banach space of all continuous functions on the unit interval via the Moran model studied in population genetics. We show that this operator, named the Moran operator, uniformly approximates every continuous function on the unit interval. Furthermore, some limit theorems for the iterates of the Moran operator are obtained.

Topik & Kata Kunci

math.PR

Penulis (2)

Takahiro Aoyama

Ryuya Namba

Format Sitasi

APA MLA BibTeX

Aoyama, T., Namba, R. (2025). On some properties of a positive linear operator via the Moran model in population genetics. https://arxiv.org/abs/2503.00403

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Informasi Jurnal

Tahun Terbit: 2025
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓