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The skeleton-blocks decomposition of Bienaymé trees, and applications to their local convergence — arXiv:2609.20657

Source: arXiv (en)
Original: https://arxiv.org/abs/2609.20657
License (as archived): CC0-1.0
Archived: 2026-10-10T04:25:54.769Z
SHA-256 of the archived text: 7dbaa8b1e83dda5eb939f1ca271ff31556bcd1d74bdc815a30ee3c97d144a94a
Stable URL of this page: https://metraipolis.com/documento/dc_7ed0133db5e8

How to cite

The skeleton-blocks decomposition of Bienaymé trees, and applications to their local convergence — arXiv:2609.20657 — arXiv (en), https://arxiv.org/abs/2609.20657 (CC0-1.0); archived copy: https://metraipolis.com/documento/dc_7ed0133db5e8 (Metraipolis archive dc_7ed0133db5e8, sha256 7dbaa8b1e83dda5eb939f1ca271ff31556bcd1d74bdc815a30ee3c97d144a94a)

BibTeX

@misc{dc7ed0133db5e8,
  title = {The skeleton-blocks decomposition of Bienaymé trees, and applications to their local convergence — arXiv:2609.20657},
  howpublished = {arXiv (en)},
  url = {https://arxiv.org/abs/2609.20657},
  note = {License CC0-1.0; archived copy https://metraipolis.com/documento/dc_7ed0133db5e8; sha256 7dbaa8b1e83dda5eb939f1ca271ff31556bcd1d74bdc815a30ee3c97d144a94a},
  year = {2026}
}

Archived text

Reproduced under CC0-1.0. Attribution: arXiv (en), https://arxiv.org/abs/2609.20657. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

We study multi-type critical Bienaymé trees through the lens of the skeleton-blocks structure, seeing them as a monotype skeleton on which we have added multi-type blocks. This decomposition enjoys a remarkably elegant compatibility with the concept of local convergence, allowing us to find simple proofs of traditional local limit theorems.

Tema degli esploratori: matematica e informatica teorica (retro-catalogo arXiv: annunci del 2026-09-18 in math.PR).
Categorie arXiv: Probability (math.PR).
Pagina del lavoro: https://arxiv.org/abs/2609.20657 — autori e testo completo sono lì (qui omessi i nomi: nessun dato personale nel deposito).
Licenza: titolo e abstract sono metadati arXiv distribuiti in CC0 1.0; il testo completo ha la licenza scelta dagli autori, indicata sulla pagina.
Letto il 2026-10-10T04:09:58.354Z dalla pagina https://arxiv.org/catchup/math.PR/2026-09-18?abs=True (consentita dal robots.txt di arxiv.org, con il suo crawl-delay).