Threshold phenomena for random cones
From MaRDI portal
Publication:2117356
DOI10.1007/s00454-021-00323-2zbMath1490.60032arXiv2004.11473OpenAlexW3195513281MaRDI QIDQ2117356
Publication date: 21 March 2022
Published in: Discrete \& Computational Geometry (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2004.11473
Geometric probability and stochastic geometry (60D05) Spherical and hyperbolic convexity (52A55) Random convex sets and integral geometry (aspects of convex geometry) (52A22) Asymptotic theory of convex bodies (52A23)
Related Items
Positive hulls of random walks and bridges ⋮ Face numbers of high-dimensional Poisson zero cells ⋮ Random cones in high dimensions II: Weyl cones ⋮ Facets of spherical random polytopes ⋮ Lah distribution: Stirling numbers, records on compositions, and convex hulls of high-dimensional random walks
Cites Work
- Random conical tessellations
- Some inequalities relating to the partial sum of binomial probabilities
- Threshold for the volume spanned by random points with independent coordinates
- Regular simplices and Gaussian samples
- Poisson polyhedra in high dimensions
- Counting the faces of randomly-projected hypercubes and orthants, with applications
- Graßmann angles of convex polytopes
- BOUNDS ON TAIL PROBABILITIES OF DISCRETE DISTRIBUTIONS
- Counting faces of randomly projected polytopes when the projection radically lowers dimension
- Stochastic and Integral Geometry
- Observed universality of phase transitions in high-dimensional geometry, with implications for modern data analysis and signal processing
- Volumes Spanned by Random Points in the Hypercube
- Living on the edge: phase transitions in convex programs with random data
- Threshold phenomena for high-dimensional random polytopes
- Volume thresholds for Gaussian and spherical random polytopes and their duals
- Geometrical Probability and Random Points on a Hypersphere
- Phase transition for the volume of high‐dimensional random polytopes
- Unnamed Item
