Estimating Support Functions of Random Polytopes via Orlicz Norms
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http://dx.doi.org/10.1007/s00454-012-9468-7 |
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Títol
Estimating Support Functions of Random Polytopes via Orlicz NormsData de publicació
2013Editor
Springer-VerlagISSN
0179-5376; 1432-0444Tipus de document
info:eu-repo/semantics/articleVersió de l'editorial
http://link.springer.com/article/10.1007%2Fs00454-012-9468-7Paraules clau / Matèries
Resum
We study the expected value of support functions of random polytopes in
a certain direction, where the random polytope is given by independent random vectors
uniformly distributed in an isotropic convex body. All ... [+]
We study the expected value of support functions of random polytopes in
a certain direction, where the random polytope is given by independent random vectors
uniformly distributed in an isotropic convex body. All results are obtained using
probabilistic estimates in terms of Orlicz norms that were not used in this connection
before. [-]
Publicat a
Discrete & Computational Geometry, 2013, vol. 49 , núm. 3Drets d'accés
© Springer, Part of Springer Science+Business Media “The final publication is available at link.springer.com”
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