Precise upper deviation estimates for the maximum of a branching random walk
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866909472222347264 |
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| author | Luo, Lianghui |
| author_facet | Luo, Lianghui |
| contents | We consider the precise upper large deviations estimates for the maximal displacement of a branching random walk. In addition, we obtain a description of the extremal process of the branching random walk conditioned on this large deviations event. This introduces a family of point measure playing a role similar to the decoration measures introduced in [9] for branching Brownian motion. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_03687 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Precise upper deviation estimates for the maximum of a branching random walk Luo, Lianghui Probability We consider the precise upper large deviations estimates for the maximal displacement of a branching random walk. In addition, we obtain a description of the extremal process of the branching random walk conditioned on this large deviations event. This introduces a family of point measure playing a role similar to the decoration measures introduced in [9] for branching Brownian motion. |
| title | Precise upper deviation estimates for the maximum of a branching random walk |
| topic | Probability |
| url | https://arxiv.org/abs/2403.03687 |