A moment approach to the law of large numbers for supercritical branching Markov processes
Fuente:
arXiv
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866915642508050432 |
|---|---|
| author | Dean, Christopher B. C. Engländer, János Horton, Emma |
| author_facet | Dean, Christopher B. C. Engländer, János Horton, Emma |
| contents | We offer a new proof of the classical law of large numbers for a general class of branching Markov processes based on the asymptotic behaviour of the moments developed in \cite{bmoments, gonzalez2022erratum}. Moreover, we show that the law of the limiting random variable, that is the almost sure limit of the classical additive martingale, is completely determined by its moments. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_22497 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A moment approach to the law of large numbers for supercritical branching Markov processes Dean, Christopher B. C. Engländer, János Horton, Emma Probability We offer a new proof of the classical law of large numbers for a general class of branching Markov processes based on the asymptotic behaviour of the moments developed in \cite{bmoments, gonzalez2022erratum}. Moreover, we show that the law of the limiting random variable, that is the almost sure limit of the classical additive martingale, is completely determined by its moments. |
| title | A moment approach to the law of large numbers for supercritical branching Markov processes |
| topic | Probability |
| url | https://arxiv.org/abs/2511.22497 |