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Extremal behavior of large cells in the Poisson hyperplane mosaic by Otto, Moritz is a scholarly article available to read on EtoBox.

What is Extremal behavior of large cells in the Poisson hyperplane mosaic about?

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).

Author

Otto, Moritz

Published

2021

Language

EN