Angle sums of random polytopes
From MaRDI portal
Publication:6187396
DOI10.1307/mmj/20206021zbMath1530.52004arXiv2007.02590MaRDI QIDQ6187396
Thomas Godland, Zakhar Kabluchko, Dmitry Zaporozhets
Publication date: 15 January 2024
Published in: Michigan Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2007.02590
Geometric probability and stochastic geometry (60D05) Spherical and hyperbolic convexity (52A55) Reflection groups, reflection geometries (51F15) Random convex sets and integral geometry (aspects of convex geometry) (52A22)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Random conical tessellations
- Random projections of regular simplices
- Regular simplices and Gaussian samples
- Beta polytopes and Poisson polyhedra: \(f\)-vectors and angles
- Lah distribution: Stirling numbers, records on compositions, and convex hulls of high-dimensional random walks
- Convex cones spanned by regular polytopes
- Recursive scheme for angles of random simplices, and applications to random polytopes
- Convex hulls of random walks, hyperplane arrangements, and Weyl chambers
- Intrinsic volumes of polyhedral cones: a combinatorial perspective
- Convex hulls of random walks: expected number of faces and face probabilities
- Graßmann angles of convex polytopes
- Angle sums of Schläfli orthoschemes
- Counting faces of randomly projected polytopes when the projection radically lowers dimension
- Angles as Probabilities
- Stochastic and Integral Geometry
- Convex Hulls of Random Walks
- Convex Polytopes
- Absorption probabilities for Gaussian polytopes and regular spherical simplices
- Angle sums of random simplices in dimensions 3 and 4
- Living on the edge: phase transitions in convex programs with random data
- Neighborliness of randomly projected simplices in high dimensions
- Convex Bodies The Brunn-MinkowskiTheory
- Angle Sums of Convex Polytopes.
- Combinatorial Lemmas in Higher Dimensions
- A Combinatorial Lemma for Complex Numbers
- Grassmann angles and absorption probabilities of Gaussian convex hulls
This page was built for publication: Angle sums of random polytopes