Semantic Scholar Open Access 2026

Indistinguishability of cells for the ideal Poisson Voronoi tessellation

Sam Mellick

Abstrak

In this note, we resolve a question of D’Achille, Curien, Enriquez, Lyons, and Ünel [ arXiv:2303.16831 [math.PR] , 2023] by showing that the cells of the ideal Poisson Voronoi tessellation are indistinguishable. This follows from an application of the Howe-Moore theorem and a theorem of Meyerovitch about the nonexistence of thinnings of the Poisson point process. We also give an alternative proof of Meyerovitch’s theorem.

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Sam Mellick

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Mellick, S. (2026). Indistinguishability of cells for the ideal Poisson Voronoi tessellation. https://doi.org/10.1090/proc/17493

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Tahun Terbit: 2026
Bahasa: en
Sumber Database: Semantic Scholar
DOI: 10.1090/proc/17493
Akses: Open Access ✓