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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Title
Estimating Support Functions of Random Polytopes via Orlicz NormsDate
2013Publisher
Springer-VerlagISSN
0179-5376; 1432-0444Type
info:eu-repo/semantics/articlePublisher version
http://link.springer.com/article/10.1007%2Fs00454-012-9468-7Subject
Abstract
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. [-]
Is part of
Discrete & Computational Geometry, 2013, vol. 49 , núm. 3Rights
© Springer, Part of Springer Science+Business Media “The final publication is available at link.springer.com”
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- MAT_Articles [766]