Limit of trees with fixed degree sequence
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2021
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866917158206832640 |
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| author | Blanc-Renaudie, Arthur |
| author_facet | Blanc-Renaudie, Arthur |
| contents | We show, under natural conditions, that uniform rooted trees with fixed degree sequence converge after renormalization toward inhomogeneous continuum random trees (ICRT). We also provide a sharp upper-bound for the tail of their heights. We also extend our results to P-trees, ICRT, and trees with random degree sequence. In passing we confirm a conjecture of Aldous, Miermont, and Pitman stating that Lévy trees are ICRT with random parameters. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2110_03378 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Limit of trees with fixed degree sequence Blanc-Renaudie, Arthur Probability 60D05 60F05 We show, under natural conditions, that uniform rooted trees with fixed degree sequence converge after renormalization toward inhomogeneous continuum random trees (ICRT). We also provide a sharp upper-bound for the tail of their heights. We also extend our results to P-trees, ICRT, and trees with random degree sequence. In passing we confirm a conjecture of Aldous, Miermont, and Pitman stating that Lévy trees are ICRT with random parameters. |
| title | Limit of trees with fixed degree sequence |
| topic | Probability 60D05 60F05 |
| url | https://arxiv.org/abs/2110.03378 |