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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/2511.04519 |
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| _version_ | 1866911252945567744 |
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| author | Castro, Alicia Tanasa, Adrian |
| author_facet | Castro, Alicia Tanasa, Adrian |
| contents | We implement numerical techniques to simulate D-random feuilletages, candidates for higher-dimensional random geometries introduced in L. Lionni and J.-F. Marckert, Math. Phys. Anal. Geom. 24 (2021) 39. Using finite-size scaling techniques, our approach allows to give a numerical estimation of the Hausdorff dimension $d_H$ of these feuilletages. The results obtained are compatible with the formal result known for the Brownian map, which corresponds to the D=2 random feuilletage. For the D=3 case, our numerical study finds a good agreement with the conjectured value $d_H=8$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_04519 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Numerical estimation of the Hausdorff dimension of D-random feuilletages Castro, Alicia Tanasa, Adrian Mathematical Physics High Energy Physics - Theory Combinatorics We implement numerical techniques to simulate D-random feuilletages, candidates for higher-dimensional random geometries introduced in L. Lionni and J.-F. Marckert, Math. Phys. Anal. Geom. 24 (2021) 39. Using finite-size scaling techniques, our approach allows to give a numerical estimation of the Hausdorff dimension $d_H$ of these feuilletages. The results obtained are compatible with the formal result known for the Brownian map, which corresponds to the D=2 random feuilletage. For the D=3 case, our numerical study finds a good agreement with the conjectured value $d_H=8$. |
| title | Numerical estimation of the Hausdorff dimension of D-random feuilletages |
| topic | Mathematical Physics High Energy Physics - Theory Combinatorics |
| url | https://arxiv.org/abs/2511.04519 |