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Abstract Methods In Information Theory

Language EnglishEnglish
Book Hardback
Book Abstract Methods In Information Theory Yuichiro Kakihara
Libristo code: 05066197
Publishers World Scientific Publishing Co Pte Ltd, October 1999
Information Theory is studied from the following view points: (1) the theory of entropy as amount of... Full description
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Information Theory is studied from the following view points: (1) the theory of entropy as amount of information; (2) the mathematical structure of information sources (probability measures); and (3) the theory of information channels. Shannon entropy and Kolmogorov-Sinai entropy are defined and their basic properties are examined, where the latter entropy is extended to be a linear functional on a certain set of measures. Ergodic and mixing properties of stationary sources are studied as well as AMS (asymptotically mean stationary) sources. The main purpose of this book is to present information channels in the environment of real and functional analysis as well as probability theory. Ergodic channels are characterized in various manners. Mixing and AMS channels are also considered in detail with some illustrations. A few other aspects of information channels including measurability, approximation and noncommutative extensions, are also discussed.

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About the book

Full name Abstract Methods In Information Theory
Language English
Binding Book - Hardback
Date of issue 1999
Number of pages 264
EAN 9789810237110
ISBN 9810237111
Libristo code 05066197
Weight 494
Dimensions 149 x 210 x 22
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