Year: 2026
Type: article
Abstract: 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.
DOI: 10.1090/proc/17493
Author: Sam Mellick
Institution: Jagiellonian University
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7127943190