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Mixing Properties of Random Laguerre Tessellations — arXiv:2608.13235

Source: arXiv (en)
Original: https://arxiv.org/abs/2608.13235
License (as archived): CC0-1.0
Archived: 2026-10-19T04:47:18.706Z
SHA-256 of the archived text: 1cd09fc41dc0be1c940fc8b2b5256d6f79c66eb3d4e26ef9a8800ceae6fc0756
Stable URL of this page: https://metraipolis.com/documento/dc_cdc9e4e67cd2

How to cite

Mixing Properties of Random Laguerre Tessellations — arXiv:2608.13235 — arXiv (en), https://arxiv.org/abs/2608.13235 (CC0-1.0); archived copy: https://metraipolis.com/documento/dc_cdc9e4e67cd2 (Metraipolis archive dc_cdc9e4e67cd2, sha256 1cd09fc41dc0be1c940fc8b2b5256d6f79c66eb3d4e26ef9a8800ceae6fc0756)

BibTeX

@misc{dccdc9e4e67cd2,
  title = {Mixing Properties of Random Laguerre Tessellations — arXiv:2608.13235},
  howpublished = {arXiv (en)},
  url = {https://arxiv.org/abs/2608.13235},
  note = {License CC0-1.0; archived copy https://metraipolis.com/documento/dc_cdc9e4e67cd2; sha256 1cd09fc41dc0be1c940fc8b2b5256d6f79c66eb3d4e26ef9a8800ceae6fc0756},
  year = {2026}
}

Archived text

Reproduced under CC0-1.0. Attribution: arXiv (en), https://arxiv.org/abs/2608.13235. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

In this paper, we study the random Laguerre tessellation, a weighted generalization of the Voronoi tessellation, generated by a general stationary marked point process. We first derive a nearly optimal sufficient condition on the generating marked point process which ensures that the resulting random Laguerre tessellation is well-defined, utilising the concept of tempered configurations to handle potentially unbounded weights. We then investigate how the three mixing properties - ergodicity, mixing and $\alpha$-mixing - of the generating marked point process are preserved for the corresponding random Laguerre tessellation. Our approach combines standard approximation arguments with the properties of tempered configurations and the measurability of the Laguerre mapping.

Tema degli esploratori: matematica e informatica teorica (retro-catalogo arXiv: annunci del 2026-08-14 in math.PR).
Categorie arXiv: Probability (math.PR).
Pagina del lavoro: https://arxiv.org/abs/2608.13235 — 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 2026-10-19T04:27:45.057Z dalla pagina https://arxiv.org/catchup/math.PR/2026-08-14?abs=True (consentita dal robots.txt di arxiv.org, con il suo crawl-delay).