arXiv Open Access 2025

More on the asymptotic behaviour of moments of branching Markov processes

Christopher B. C. Dean Emma Horton

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Abstrak

Consider a branching Markov process, $X = (X(t), t \ge 0)$, with non-local branching mechanism. Studying the asymptotic behaviour of the moments of X has recently received attention in the literature [6, 7] due to the importance of these results in understanding the underlying genealogical structure of $X$. In this article, we generalise the results of [7] to allow for a non-simple leading eigenvalue and to also study the higher order fluctuations of the moments of $X$. These results will be useful for proving central limit theorems and extending well-known LLN results.

Topik & Kata Kunci

math.PR

Penulis (2)

Christopher B. C. Dean

Emma Horton

Format Sitasi

APA MLA BibTeX

Dean, C.B.C., Horton, E. (2025). More on the asymptotic behaviour of moments of branching Markov processes. https://arxiv.org/abs/2501.19268

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Informasi Jurnal

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