|
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
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.
Received: 15.09.2012
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
Linking options:
https://www.mathnet.ru/eng/mais279 https://www.mathnet.ru/eng/mais/v19/i6/p148
|
Statistics & downloads: |
Abstract page: | 226 | Full-text PDF : | 73 | References: | 60 |
|