On Sibuya trees and forests
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Accesso online: | |
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| _version_ | 1866914089737912320 |
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| author | Huillet, Thierry E |
| author_facet | Huillet, Thierry E |
| contents | We show that the Sibuya distribution and its non-critical relatives are relevant in the context of the recursive generation of both simply generated and increasing critical trees' and forests' progenies. A special class of generalized Stirling numbers are at the heart of the analysis of the induced occupancy distributions. Asymptotic aspects of large forests are addressed. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_11105 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On Sibuya trees and forests Huillet, Thierry E Combinatorics Probability We show that the Sibuya distribution and its non-critical relatives are relevant in the context of the recursive generation of both simply generated and increasing critical trees' and forests' progenies. A special class of generalized Stirling numbers are at the heart of the analysis of the induced occupancy distributions. Asymptotic aspects of large forests are addressed. |
| title | On Sibuya trees and forests |
| topic | Combinatorics Probability |
| url | https://arxiv.org/abs/2510.11105 |