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- W4310390265 abstract "We study the asymptotic behavior of a size-marked point process of centers of large cells in a stationary and isotropic Poisson hyperplane mosaic in dimension $d ge 2$. The sizes of the cells are measured by their inradius or their $k$th intrinsic volume ($k ge 2$), for example. We prove a Poisson limit theorem for this process in Kantorovich-Rubinstein distance and thereby generalize a result in Chenavier and Hemsley (2016) in various directions. Our proof is based on a general Poisson process approximation result that extends a theorem in Bobrowski, Schulte and Yogeshwaran (2021)." @default.
- W4310390265 created "2022-12-10" @default.
- W4310390265 creator A5059007316 @default.
- W4310390265 date "2021-06-28" @default.
- W4310390265 modified "2023-09-27" @default.
- W4310390265 title "Extremal behavior of large cells in the Poisson hyperplane mosaic" @default.
- W4310390265 doi "https://doi.org/10.48550/arxiv.2106.14823" @default.
- W4310390265 hasPublicationYear "2021" @default.
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