Mean width of random perturbations of random polytopes
From MaRDI portal
Publication:1707387
DOI10.1515/advgeom-2016-0032zbMath1406.52010arXiv1303.5677OpenAlexW2963886216MaRDI QIDQ1707387
Joscha Prochno, David Alonso-Gutiérrez
Publication date: 29 March 2018
Published in: Advances in Geometry (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1303.5677
Geometric probability and stochastic geometry (60D05) Random convex sets and integral geometry (aspects of convex geometry) (52A22) Probabilistic methods in extremal combinatorics, including polynomial methods (combinatorial Nullstellensatz, etc.) (05D40) Asymptotic theory of convex bodies (52A23)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Uniform estimates for order statistics and Orlicz functions
- Asymptotic shape of a random polytope in a convex body
- Concentration of mass on isotropic convex bodies
- Power-law estimates for the central limit theorem for convex sets
- On singular values of matrices with independent rows
- Asymptotic theory of finite dimensional normed spaces. With an appendix by M. Gromov: Isoperimetric inequalities in Riemannian manifolds
- A dozen de Finetti-style results in search of a theory
- Minima of sequences of Gaussian random variables
- Orlicz norms of sequences of random variables
- Quermaßintegrals and asymptotic shape of random polytopes in an isotropic convex body
- Estimating support functions of random polytopes via Orlicz norms
- Smallest singular value of random matrices and geometry of random polytopes
- Relative entropy of cone measures and L p centroid bodies
- A note on Sylvester’s four-point problem
- On the Volume of the Intersection of Two L n p Balls
- Smoothed analysis of algorithms
- [https://portal.mardi4nfdi.de/wiki/Publication:5331598 �ber die konvexe H�lle von n zuf�llig gew�hlten Punkten. II]
- On the Maximum of Random Variables on Product Spaces
- On the Gaussian behavior of marginals and the mean width of random polytopes
- ZufÄllige konvexe Polygone in einem Ringgebiet
- [https://portal.mardi4nfdi.de/wiki/Publication:5728818 �ber die konvexe H�lle von n zuf�llig gew�hlten Punkten]
- On the isotropic constant of random polytopes