Poisson-Dirichlet graphons and permutons
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866912835863314432 |
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| author | Stufler, Benedikt |
| author_facet | Stufler, Benedikt |
| contents | We introduce classes of supergraphs and superpermutations with novel universal graphon and permuton limiting objects whose construction involves the two-parameter Poisson-Dirichlet process introduced by Pitman and Yor (1997). We demonstrate the universality of these limiting objects through general invariance principles in a heavy-tailed regime and establish a comprehensive phase diagram for the asymptotic shape of superstructures. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_14166 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Poisson-Dirichlet graphons and permutons Stufler, Benedikt Probability Combinatorics We introduce classes of supergraphs and superpermutations with novel universal graphon and permuton limiting objects whose construction involves the two-parameter Poisson-Dirichlet process introduced by Pitman and Yor (1997). We demonstrate the universality of these limiting objects through general invariance principles in a heavy-tailed regime and establish a comprehensive phase diagram for the asymptotic shape of superstructures. |
| title | Poisson-Dirichlet graphons and permutons |
| topic | Probability Combinatorics |
| url | https://arxiv.org/abs/2601.14166 |