Fluctuations of non-local branching Markov processes
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Accesso online: | |
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| _version_ | 1866915174047285248 |
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| author | Dean, Christopher B. C. Horton, Emma |
| author_facet | Dean, Christopher B. C. Horton, Emma |
| contents | The aim of this paper is to study the fluctuations of a general class of supercritical branching Markov processes with non-local branching mechanisms. We show the existence of three regimes according to the size of the spectral gap associated with the expectation semigroup of the branching process and establish functional central limit theorems within each regime. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_19382 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Fluctuations of non-local branching Markov processes Dean, Christopher B. C. Horton, Emma Probability The aim of this paper is to study the fluctuations of a general class of supercritical branching Markov processes with non-local branching mechanisms. We show the existence of three regimes according to the size of the spectral gap associated with the expectation semigroup of the branching process and establish functional central limit theorems within each regime. |
| title | Fluctuations of non-local branching Markov processes |
| topic | Probability |
| url | https://arxiv.org/abs/2502.19382 |