Convex cones spanned by regular polytopes
DOI10.1515/advgeom-2021-0041zbMath1486.52009arXiv2006.09492OpenAlexW3036327512MaRDI QIDQ2127863
Hauke Seidel, Zakhar Kabluchko
Publication date: 21 April 2022
Published in: Advances in Geometry (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2006.09492
convex conesolid angleregular polytopeabsorption probabilityconic intrinsic volumeGaussian polytopeprojections of regular polytopessections of regular polytopes
Geometric probability and stochastic geometry (60D05) (n)-dimensional polytopes (52B11) Spherical and hyperbolic convexity (52A55) Random convex sets and integral geometry (aspects of convex geometry) (52A22)
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Cites Work
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- On the intermediate area functions of convex bodies
- Random projections of regular simplices
- Random projections of regular polytopes
- On random sections of the cube
- Counting the faces of randomly-projected hypercubes and orthants, with applications
- Convex hulls of random walks, hyperplane arrangements, and Weyl chambers
- Intrinsic volumes of polyhedral cones: a combinatorial perspective
- Graßmann angles of convex polytopes
- Counting faces of randomly projected polytopes when the projection radically lowers dimension
- Lectures on Polytopes
- High-Dimensional Probability
- Absorption probabilities for Gaussian polytopes and regular spherical simplices
- Living on the edge: phase transitions in convex programs with random data
- Neighborliness of randomly projected simplices in high dimensions
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