2 problems

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Kendall's circularity conjecture for large cells in planar Poisson line tessellations
Let $Z_{{o}}$ be the zero cell, meaning the cell containing the origin, in a planar stationary isotropic Poisson line tessellation, and let $V_2(Z_{{o}})$ denote its area. Kendall'…
Conjecturesolvedpoisson-tessellations random-polytopes stochastic-geometryarXiv posted 2 days ago
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Sharpness conjecture for the convergence bound of small Poisson tessellation cells
Let $\Sigma$ be a size functional of degree $k>0$ , let $Z$ be the typical cell of a Poisson hyperplane tessellation, let $f(Z)$ denote its number of facets, and let $\gamma$ be the…
Conjecturesolvedpoisson-tessellations small-cells stochastic-geometryarXiv posted 2 days ago

Kendall's circularity conjecture for large cells in planar Poisson line tessellations