arXiv Open Access 2023

Coalescence times for critical Galton-Watson processes with immigration

Rong-Li Liu Yan-Xia Ren Yingrui Wang

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Abstrak

Let $X^I_n$ be the coalescence time of two particles picked at random from the $n$th generation of a critical Galton-Watson process with immigration, and let $A^I_n$ be the coalescence time of the whole population in the $n$th generation. In this paper, we study the limiting behaviors of $X^I_n$ and $A^I_n$ as $n\to\infty$.

Topik & Kata Kunci

math.PR

Penulis (3)

Rong-Li Liu

Yan-Xia Ren

Yingrui Wang

Format Sitasi

APA MLA BibTeX

Liu, R., Ren, Y., Wang, Y. (2023). Coalescence times for critical Galton-Watson processes with immigration. https://arxiv.org/abs/2307.07384

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Informasi Jurnal

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