2 problems

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BCP's ideal Poisson–Voronoi tessellation conjecture for the hyperbolic plane
BCP's conjecture. In the low-intensity limit, a random tessellation of the hyperbolic plane is obtained, namely an ideal Poisson–Voronoi tessellation.
Conjecturesolvedhyperbolic-geometry poisson-voronoi-tessellations random-geometryarXiv posted 2 days ago
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Chenavier–Robert's conjecture on the extremal index of Poisson-Voronoi cells
Chenavier–Robert's conjecture. The extremal index is conjectured to be
Conjectureopenextreme-value-theory poisson-voronoi-tessellations stochastic-geometryarXiv posted 2 days ago

BCP's ideal Poisson–Voronoi tessellation conjecture for the hyperbolic plane