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Problemy Peredachi Informatsii, 1995, Volume 31, Issue 3, Pages 24–34 (Mi ppi281)  

This article is cited in 1 scientific paper (total in 1 paper)

Information Theory

The Law of Large Numbers for Capacity of Memoryless Channels with a Random Matrix of Transition Probabilities

A. S. Ambrosimov, A. N. Timashev
Full-text PDF (635 kB) Citations (1)
Abstract: We prove that the capacity of a discrete memoryless channel with a random $n\times n$ matrix of transition probabilities tends almost surely to $1-\gamma$ as $n\to\infty$, where $\gamma=0,5772\dots$ is the Euler constant.
Received: 05.07.1994
Bibliographic databases:
Document Type: Article
UDC: 621.391.1:519.2
Language: Russian
Citation: A. S. Ambrosimov, A. N. Timashev, “The Law of Large Numbers for Capacity of Memoryless Channels with a Random Matrix of Transition Probabilities”, Probl. Peredachi Inf., 31:3 (1995), 24–34; Problems Inform. Transmission, 31:3 (1995), 216–224
Citation in format AMSBIB
\Bibitem{AmbTim95}
\by A.~S.~Ambrosimov, A.~N.~Timashev
\paper The Law of Large Numbers for Capacity of Memoryless Channels with a~Random Matrix of Transition Probabilities
\jour Probl. Peredachi Inf.
\yr 1995
\vol 31
\issue 3
\pages 24--34
\mathnet{http://mi.mathnet.ru/ppi281}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1367916}
\zmath{https://zbmath.org/?q=an:0895.60024|0863.60025}
\transl
\jour Problems Inform. Transmission
\yr 1995
\vol 31
\issue 3
\pages 216--224
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  • https://www.mathnet.ru/eng/ppi281
  • https://www.mathnet.ru/eng/ppi/v31/i3/p24
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Проблемы передачи информации Problems of Information Transmission
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    Abstract page:248
    Full-text PDF :93
     
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