Mean width of random polytopes in a reasonably smooth convex body
From MaRDI portal
Publication:1036792
DOI10.1016/j.jmva.2009.07.003zbMath1221.52008OpenAlexW2069892885MaRDI QIDQ1036792
Károly jun. Böröczky, Ferenc Fodor, Matthias Reitzner, Viktor Vígh
Publication date: 13 November 2009
Published in: Journal of Multivariate Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmva.2009.07.003
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Cites Work
- Central limit theorems for random polytopes in a smooth convex set
- Approximation of convex bodies by random polytopes
- Random polytopes in a convex polytope, independence of shape, and concentration of vertices
- Approximation of smooth convex bodies by random circumscribed polytopes
- Random polytopes and the Efron-Stein jackknife inequality.
- An identity relating moments of functionals of convex hulls
- Central limit theorems for random polytopes
- Stochastic and Integral Geometry
- Convex bodies, economic cap coverings, random polytopes
- Random polytopes in smooth convex bodies
- Random polytopes in a convex body
- Random Polytopes and Affine Surface Area
- Convex and Discrete Geometry
- [https://portal.mardi4nfdi.de/wiki/Publication:5331598 �ber die konvexe H�lle von n zuf�llig gew�hlten Punkten. II]
- 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]
- Expectation of random polytopes
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