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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| Accès en ligne: | https://arxiv.org/abs/2404.18489 |
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| _version_ | 1866916912440541184 |
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| author | Gall, Jean-François Le Riera, Armand |
| author_facet | Gall, Jean-François Le Riera, Armand |
| contents | We establish a new spatial Markov property of the Brownian half-plane. According to this property, if one removes a hull centered at a boundary point, the remaining space equipped with an intrinsic metric is still a Brownian half-plane, which is independent of the part that has been removed. This is an analog of the well-known peeling procedure for random planar maps. We also investigate several distributional properties of hulls centered at a boundary point, and we provide a new construction of the Brownian half-plane giving information about distances from a half-boundary. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_18489 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Peeling the Brownian half-plane Gall, Jean-François Le Riera, Armand Probability 60D05 We establish a new spatial Markov property of the Brownian half-plane. According to this property, if one removes a hull centered at a boundary point, the remaining space equipped with an intrinsic metric is still a Brownian half-plane, which is independent of the part that has been removed. This is an analog of the well-known peeling procedure for random planar maps. We also investigate several distributional properties of hulls centered at a boundary point, and we provide a new construction of the Brownian half-plane giving information about distances from a half-boundary. |
| title | Peeling the Brownian half-plane |
| topic | Probability 60D05 |
| url | https://arxiv.org/abs/2404.18489 |