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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2504.21455 |
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| _version_ | 1866912354713731072 |
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| author | Hartung, Lisa Louidor, Oren Wu, Tianqi |
| author_facet | Hartung, Lisa Louidor, Oren Wu, Tianqi |
| contents | We give a probabilistic proof for the emergence of the Stable-$1$ Law for the random fluctuations of the mass of the extremal process of branching Brownian Motion away from its tip. This result was already shown by Mytnik et al. albeit using PDE techniques. As a consequence, we demystify the origin of these fluctuations and the meaning of the deterministic centering function required. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_21455 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A Probabilistic Proof for Stable Fluctuations in the Extremal Process of Branching Brownian Motion Hartung, Lisa Louidor, Oren Wu, Tianqi Probability 60J80, 60G70, 60E07 We give a probabilistic proof for the emergence of the Stable-$1$ Law for the random fluctuations of the mass of the extremal process of branching Brownian Motion away from its tip. This result was already shown by Mytnik et al. albeit using PDE techniques. As a consequence, we demystify the origin of these fluctuations and the meaning of the deterministic centering function required. |
| title | A Probabilistic Proof for Stable Fluctuations in the Extremal Process of Branching Brownian Motion |
| topic | Probability 60J80, 60G70, 60E07 |
| url | https://arxiv.org/abs/2504.21455 |