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Modelirovanie i Analiz Informatsionnykh Sistem, 2012, Volume 19, Number 6, Pages 148–151 (Mi mais279)  

A Uniform Asymptotical Upper Bound for the Variance of a Random Polytope in a Simple Polytope

A. Magazinovab

a Steklov Mathematical Institute of RAS
b P. G. Demidov Yaroslavl State University
References:
Abstract: The present paper contains a sketch of the proof of an upper bound for the variance of the number of hyperfaces of a random polytope when the mother body is a simple polytope. Thus we verify a weaker version of the result in [1] stated without a proof. The article is published in the author's wording.
Keywords: Random polytope, $f$-vector, variance.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 11.G34.31.0053
European Research Council 267165 (DISCONV)
Partially supported by the Russian government project 11.G34.31.0053 and ERC Advanced Research Grant No. 267165 (DISCONV).
Received: 15.09.2012
Document Type: Article
UDC: 514.17+519.21
Language: English
Citation: A. Magazinov, “A Uniform Asymptotical Upper Bound for the Variance of a Random Polytope in a Simple Polytope”, Model. Anal. Inform. Sist., 19:6 (2012), 148–151
Citation in format AMSBIB
\Bibitem{Mag12}
\by A.~Magazinov
\paper A Uniform Asymptotical Upper Bound for the Variance of a Random Polytope in a Simple Polytope
\jour Model. Anal. Inform. Sist.
\yr 2012
\vol 19
\issue 6
\pages 148--151
\mathnet{http://mi.mathnet.ru/mais279}
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  • https://www.mathnet.ru/eng/mais/v19/i6/p148
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