Modelirovanie i Analiz Informatsionnykh Sistem
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Model. Anal. Inform. Sist.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

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
Full-text PDF (465 kB)
References:
PDF
HTML
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}
Linking options:
  • https://www.mathnet.ru/eng/mais279
  • https://www.mathnet.ru/eng/mais/v19/i6/p148
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Моделирование и анализ информационных систем
    Statistics & downloads:
    Abstract page:227
    Full-text PDF :74
    References:60
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024