Facets of spherical random polytopes
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Publication:6093886
DOI10.1002/mana.202000314zbMath1529.52004arXiv1908.04033OpenAlexW2967698684MaRDI QIDQ6093886
Publication date: 9 October 2023
Published in: Mathematische Nachrichten (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1908.04033
Geometric probability and stochastic geometry (60D05) Central limit and other weak theorems (60F05) Random convex sets and integral geometry (aspects of convex geometry) (52A22)
Cites Work
- Unnamed Item
- A Mathematical Theory of Communication
- Limiting laws of coherence of random matrices with applications to testing covariance structure and construction of compressed sensing matrices
- Stochastical approximation of convex bodies
- On the hyperplane conjecture for random convex sets
- Central limit theorems for random polytopes in a smooth convex set
- Random inscribed polytopes have similar radius functions as Poisson-Delaunay mosaics
- Central limit theorem for the volume of random polytopes with vertices on the boundary
- On the isotropic constant of random polytopes with vertices on an \(\ell_p\)-sphere
- Beta polytopes and Poisson polyhedra: \(f\)-vectors and angles
- Monotonicity of facet numbers of random convex hulls
- A note on volume thresholds for random polytopes
- Threshold phenomena for random cones
- The stochastic geometry of unconstrained one-bit data compression
- Thin-shell concentration for zero cells of stationary Poisson mosaics
- Universality in polytope phase transitions and message passing algorithms
- Poisson polyhedra in high dimensions
- Central limit theorems for Gaussian polytopes
- The Dantzig selector: statistical estimation when \(p\) is much larger than \(n\). (With discussions and rejoinder).
- An inscribing model for random polytopes
- Central limit theorems for random polytopes
- Asymptotic Approximations of Integrals
- Distributions of Angles in Random Packing on Spheres
- Counting faces of randomly projected polytopes when the projection radically lowers dimension
- Network Information Theory
- Some Elementary Inequalities Relating to the Gamma and Incomplete Gamma Function
- Stochastic and Integral Geometry
- On the isotropy constant of random convex sets
- Near-Optimal Signal Recovery From Random Projections: Universal Encoding Strategies?
- Volume degeneracy of the typical cell and the chord length distribution for Poisson-Voronoi tessellations in high dimensions
- A Problem in Geometric Probability.
- Limit theorems for random simplices in high dimensions
- Expected intrinsic volumes and facet numbers of random beta‐polytopes
- Asymptotic approximation of smooth convex bodies by polytopes
- Random volumes in d-dimensional polytopes
- Asymptotic normality for random simplices and convex bodies in high dimensions
- Limit theorems for random polytopes with vertices on convex surfaces
- Threshold phenomena for high-dimensional random polytopes
- Random Polytopes
- On the isotropic constant of random polytopes
- Compressed sensing
- On the isotropic constant of random polytopes
- Phase transition for the volume of high‐dimensional random polytopes
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