Angle sums of random simplices in dimensions 3 and 4
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Publication:5111518
DOI10.1090/proc/14934zbMath1441.52006arXiv1905.01533OpenAlexW2990376029WikidataQ126770160 ScholiaQ126770160MaRDI QIDQ5111518
Publication date: 27 May 2020
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1905.01533
Geometric probability and stochastic geometry (60D05) (n)-dimensional polytopes (52B11) Random convex sets and integral geometry (aspects of convex geometry) (52A22)
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The typical cell of a Voronoi tessellation on the sphere ⋮ Phase transition for the volume of high‐dimensional random polytopes ⋮ EXPECTEDf‐VECTOR OF THE POISSON ZERO POLYTOPE AND RANDOM CONVEX HULLS IN THE HALF‐SPHERE ⋮ On expected face numbers of random beta and beta' polytopes ⋮ Angle sums of random polytopes ⋮ Angles of random simplices and face numbers of random polytopes ⋮ Recursive scheme for angles of random simplices, and applications to random polytopes ⋮ Beta polytopes and Poisson polyhedra: \(f\)-vectors and angles
Cites Work
- A canonical decomposition of the probability measure of sets of isotropic random points in \(\mathbb{R}^n\)
- Random projections of regular simplices
- A multidimensional analogue of the arcsine law for the number of positive terms in a random walk
- Beta polytopes and Poisson polyhedra: \(f\)-vectors and angles
- Monotonicity of facet numbers of random convex hulls
- Angles of the Gaussian simplex
- Angles as Probabilities
- Stochastic and Integral Geometry
- Convex Polytopes
- Limit theorems for random simplices in high dimensions
- Expected intrinsic volumes and facet numbers of random beta‐polytopes
- Threshold phenomena for high-dimensional random polytopes
- Angle Sums of Convex Polytopes.
- Isotropic random simplices
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